Chapter 14, Problem 27E

Question

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Answer 1

Question

Chapter 14, Problem 27E

Expert Solution & Answer

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.

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Answer 2

Question

Chapter 14, Problem 27E

Expert Solution & Answer

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.

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Answer 3

Question

Chapter 14, Problem 27E

Expert Solution & Answer

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.

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Answer 4

Question

Chapter 14, Problem 27E

Expert Solution & Answer

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.

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Answer 5

Expert Solution & Answer

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.

Answer 6

Expert Solution & Answer

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To create:

• The complex variables c1=1−3i, c2=5+2i and add them.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

Answer 10

Answer to Problem 27E

Solution:

• The addition of c1=1−3i, c2=5+2i gives 6−i.

• The multiplication of c1=1−3i, c2=5+2i gives 11−13i.

• The complex conjugate and magnitude of c1=1−3i is 1+3i and 3.16, and for c2=5+2i is 5−2i and 5.38.

• The complex variables c1=1−3i, c2=5+2i in polar form are stated as follows.

Answer 11

Explanation of Solution

• The complex variables c1=1−3i, c2=5+2i and add them.

The given complex variables are,

c1=1−3i, c2=5+2i

Add them.

c1+c2=1−3i+(5+2i)=6−i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 1

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and multiply them.

The given complex variables are,

c1=1−3i, c2=5+2i

Multiply them.

c1×c2=(1−3i)(5+2i)=11−13i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 2

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=1−3ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=5−2i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 3

Therefore, the result is stated above.

• The complex variables c1=1−3i, c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip 4

Therefore, the result is stated above.