Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
bartleby

Videos

Question
Book Icon
Chapter 2, Problem 42E
Expert Solution & Answer
Check Mark
To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• Whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 42E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. So the other multiplication is possible and the output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

% Define the command to get the matrix “A”.

3*A

% Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_45251_2_42_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 42E , additional homework tip  1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

% Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

% Define the command to get the matrix “C”.

A*C

% Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_45251_2_42_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 42E , additional homework tip  2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• Whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

% Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

% Define the command to get the matrix “B”.

C*B

% Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_45251_2_42_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 42E , additional homework tip  3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. So the other multiplication is possible and the output of the operation “C*B” is [234321152118].

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
m Proctor ments sources Dak is investigating how long their phone's battery lasts (in hours) for various brightness levels (on a scale of 0-100). A part of the regression analysis done on Ti Calculator and in Excel for their data are displayed below. Ti Calculator Click this button to reveal the Ti Calculator Output. Click again to collapse it. Ti Calculator y = ax+b B0 and p 0 t = -3.02431335 p = 0.0233 df - 6 a =-0.0380555845 b=5.88809202 s = 0.436054238 20.603868129 r = -0.777089524 Resources Excel Type here to search Click this button to reveal the Excel Output. Click again to collapse it. SUMMARY OUTPUT Multiple R 0.777089524 R Square 0.603868129 Adjusted R Square 0.537846150 Standard Error 0.436054238 Observations 8 ANOVA df SS MS F Significance F Regression 1 1.73914021 Residual 6 1.14085979 1.73914021 0.190143298 9.1465 0.0233 Total 7 2.88000000 Coefficients Standard Error Intercept Brightness 5.88809202 -0.0380555845 t Stat 7.62593816 -3.02431335 P-value 0.0003 0.0233 Use…
ce Problems x + canvas.pdx.edu/courses/106252/assignments/1102408?module_item_id=4856656 m Proctor ments THIS IS THE second question of exdin where you have to Snow compere work to get run points. If you use TI calculator functions, you may write your work along with functions and values you I used and answers on a paper or type on an empty Word document or Excel file. If you use Ti calculator app on your computer or phone, you may provide screen shots of those on a word document or Excel file. Clearly provide the function along with values for the work. If you use Excel, you may use the Excel calculator or Excel as a calculator on your computer to provide complete work and the final answer on it. Please provide all the answers to the following questions on the same Excel sheet. If you use formula, you may write all your steps with numbers on a paper and submit a photo of it. Otherwise, you may type all those steps on a Word document or an Excel file. Do NOT round in the middle steps…
Suppose the model for certain data is a parabola y = Bo+B1x+B2x² with observations (1, 2.2), (2, 6.9), (3, 16.1), (4, 28.7), (5, 46.1). Describe the design matrix, the observation vector, and the parameter vector. Using these write down the system of equations to be approximated Xẞ = y, the parts of the normal equations XTX and XTy and write down the normal equations. Solve and determine the residual vector €. You may use a calculator for the computations but show the steps as described above.
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,
Text book image
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Text book image
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Matrix Factorization - Numberphile; Author: Numberphile;https://www.youtube.com/watch?v=wTUSz-HSaBg;License: Standard YouTube License, CC-BY