Skip to main content

Math Calculus Finite Mathematics and Calculus with Applications (10th Edition)

Given the matrices A = [ 4 1 0 − 2 − 3 6 9 ] , B = [ 2 3 − 2 2 4 0 0 1 2 ] , C = [ 5 0 − 1 3 4 7 ] , D = [ 6 1 0 ] , E = [ 1 3 − 4 ] , F = [ − 1 4 3 7 ] , G = [ − 2 0 1 5 ] , find each of the following, if it exists. 35. 3 C + 2 A

Given the matrices A = [ 4 1 0 − 2 − 3 6 9 ] , B = [ 2 3 − 2 2 4 0 0 1 2 ] , C = [ 5 0 − 1 3 4 7 ] , D = [ 6 1 0 ] , E = [ 1 3 − 4 ] , F = [ − 1 4 3 7 ] , G = [ − 2 0 1 5 ] , find each of the following, if it exists. 35. 3 C + 2 A

Solution Summary: The author explains the value of the matrix 3C+2A and the sum of two mtimes n matrices.

Finite Mathematics and Calculus with Applications (10th Edition)

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

See similar textbooks

Concept explainers

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

Videos

Textbook Question

Chapter 2, Problem 35RE

Given the matrices

A = [ 4 1 0 − 2 − 3 6 9 ] , B = [ 2 3 − 2 2 4 0 0 1 2 ] , C = [ 5 0 − 1 3 4 7 ] , D = [ 6 1 0 ] , E = [ 1 3 − 4 ] , F = [ − 1 4 3 7 ] , G = [ − 2 0 1 5 ] ,

find each of the following, if it exists.

35. 3C + 2A

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

Blurred answer

Chapter 2, Problem 34RE

Chapter 2, Problem 36RE

Students have asked these similar questions

I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!

I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!

I need detailed help solving this exercise from homework of Calculus I.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!

Chapter 2 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 2.1 - Solve the system 2x+3y=123x4y=1.Ch. 2.1 - Prob. 2YT Ch. 2.1 - Prob. 3YT Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E

Ch. 2.1 - Prob. 8E Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 10E Ch. 2.1 - Use the echelon method to solve each system of two...Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Solve each system of equations. Let z be the...Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - For each of the following systems of equations in...Ch. 2.1 - For each of the following systems of equations in...Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Life Sciences 45. Birds The date of the first...Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Flight Time A flight leaves New York at 8 P.M. and...Ch. 2.1 - Prob. 49E Ch. 2.2 - Prob. 1YT Ch. 2.2 - Use the Gauss-Jordan method to solve the system...Ch. 2.2 - Prob. 3YT Ch. 2.2 - Prob. 1WE Ch. 2.2 - Prob. 2WE Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Prob. 15E Ch. 2.2 - Prob. 16E Ch. 2.2 - Prob. 17E Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - Prob. 32E Ch. 2.2 - Prob. 33E Ch. 2.2 - Prob. 34E Ch. 2.2 - Prob. 35E Ch. 2.2 - Prob. 36E Ch. 2.2 - Prob. 37E Ch. 2.2 - Prob. 38E Ch. 2.2 - Prob. 39E Ch. 2.2 - Use the Gauss-Jordan method to solve each system...Ch. 2.2 - Prob. 41E Ch. 2.2 - Prob. 42E Ch. 2.2 - On National Public Radio, the Weekend Edition...Ch. 2.2 - Prob. 44E Ch. 2.2 - Investments Katherine Chong invests 10,000...Ch. 2.2 - Prob. 46E Ch. 2.2 - Prob. 47E Ch. 2.2 - Prob. 48E Ch. 2.2 - Loans To get the necessary funds for a planned...Ch. 2.2 - Manufacturing Nadir, Inc. produces three models of...Ch. 2.2 - Deliveries An electronics company produces three...Ch. 2.2 - Tents L.L. Bean makes three sizes of Ultra Dome...Ch. 2.2 - Prob. 53E Ch. 2.2 - APPLY IT Transportation An auto manufacturer sends...Ch. 2.2 - Prob. 55E Ch. 2.2 - Prob. 56E Ch. 2.2 - Prob. 57E Ch. 2.2 - Prob. 58E Ch. 2.2 - Prob. 59E Ch. 2.2 - Prob. 60E Ch. 2.2 - Prob. 61E Ch. 2.2 - Health The U.S. National Center for Health...Ch. 2.2 - Prob. 63E Ch. 2.2 - Prob. 64E Ch. 2.2 - Prob. 65E Ch. 2.2 - Prob. 66E Ch. 2.2 - Baseball Ichiro Suzuki holds the American League...Ch. 2.2 - Prob. 69E Ch. 2.2 - Snack Food According to the nutrition labels on...Ch. 2.2 - Lights Out The Tiger Electronics game, Lights Out,...Ch. 2.2 - Prob. 72E Ch. 2.2 - Prob. 73E Ch. 2.3 - Prob. 1YT Ch. 2.3 - Prob. 2YT Ch. 2.3 - Prob. 1E Ch. 2.3 - Prob. 2E Ch. 2.3 - Decide whether each statement is true or false. If...Ch. 2.3 - Prob. 4E Ch. 2.3 - Prob. 5E Ch. 2.3 - Prob. 6E Ch. 2.3 - Prob. 7E Ch. 2.3 - Prob. 8E Ch. 2.3 - Prob. 9E Ch. 2.3 - Prob. 10E Ch. 2.3 - Prob. 11E Ch. 2.3 - Prob. 12E Ch. 2.3 - Prob. 13E Ch. 2.3 - Prob. 14E Ch. 2.3 - Prob. 15E Ch. 2.3 - Prob. 16E Ch. 2.3 - Prob. 17E Ch. 2.3 - Prob. 18E Ch. 2.3 - Prob. 19E Ch. 2.3 - Prob. 20E Ch. 2.3 - Prob. 21E Ch. 2.3 - Prob. 22E Ch. 2.3 - Prob. 23E Ch. 2.3 - Prob. 24E Ch. 2.3 - Prob. 25E Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - Prob. 28E Ch. 2.3 - Prob. 29E Ch. 2.3 - Prob. 30E Ch. 2.3 - Prob. 31E Ch. 2.3 - Prob. 32E Ch. 2.3 - Prob. 33E Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - Prob. 39E Ch. 2.3 - Prob. 40E Ch. 2.3 - Prob. 41E Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - Prob. 44E Ch. 2.3 - Prob. 45E Ch. 2.3 - Prob. 46E Ch. 2.3 - Life Expectancy The following table gives the life...Ch. 2.3 - Prob. 48E Ch. 2.3 - Educational Attainment The following table gives...Ch. 2.3 - Prob. 50E Ch. 2.4 - Prob. 1YT Ch. 2.4 - Prob. 2YT Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.4 - Prob. 5E Ch. 2.4 - Prob. 6E Ch. 2.4 - Prob. 7E Ch. 2.4 - Prob. 8E Ch. 2.4 - Prob. 9E Ch. 2.4 - Prob. 10E Ch. 2.4 - Prob. 11E Ch. 2.4 - Prob. 12E Ch. 2.4 - Prob. 13E Ch. 2.4 - The product matrix AB has the same number of...Ch. 2.4 - Prob. 15E Ch. 2.4 - Prob. 16E Ch. 2.4 - Prob. 17E Ch. 2.4 - Prob. 18E Ch. 2.4 - Prob. 19E Ch. 2.4 - Prob. 20E Ch. 2.4 - Prob. 21E Ch. 2.4 - Prob. 22E Ch. 2.4 - Prob. 23E Ch. 2.4 - Prob. 24E Ch. 2.4 - Prob. 25E Ch. 2.4 - Prob. 26E Ch. 2.4 - Prob. 27E Ch. 2.4 - Prob. 28E Ch. 2.4 - Prob. 29E Ch. 2.4 - Prob. 30E Ch. 2.4 - Prob. 31E Ch. 2.4 - Prob. 32E Ch. 2.4 - Prob. 33E Ch. 2.4 - Prob. 34E Ch. 2.4 - Prob. 35E Ch. 2.4 - Prob. 36E Ch. 2.4 - Prob. 37E Ch. 2.4 - Prob. 38E Ch. 2.4 - Prob. 39E Ch. 2.4 - Prob. 40E Ch. 2.4 - Prob. 41E Ch. 2.4 - Prob. 42E Ch. 2.4 - Prob. 43E Ch. 2.4 - Prob. 44E Ch. 2.4 - Prob. 45E Ch. 2.4 - Prob. 46E Ch. 2.4 - Prob. 47E Ch. 2.4 - Cost Analysis The Mundo Candy Company makes three...Ch. 2.4 - Shoe Sales Sals Shoes and Freds Footwear both have...Ch. 2.4 - Prob. 50E Ch. 2.4 - Prob. 51E Ch. 2.4 - Prob. 52E Ch. 2.4 - Prob. 53E Ch. 2.4 - Prob. 54E Ch. 2.4 - Prob. 55E Ch. 2.4 - Prob. 56E Ch. 2.4 - Prob. 57E Ch. 2.5 - Prob. 1YT Ch. 2.5 - Prob. 2YT Ch. 2.5 - Prob. 3YT Ch. 2.5 - Prob. 1WE Ch. 2.5 - Prob. 2WE Ch. 2.5 - Prob. 3WE Ch. 2.5 - Prob. 4WE Ch. 2.5 - Prob. 1E Ch. 2.5 - Prob. 2E Ch. 2.5 - Prob. 3E Ch. 2.5 - Prob. 4E Ch. 2.5 - Prob. 5E Ch. 2.5 - Prob. 6E Ch. 2.5 - Prob. 7E Ch. 2.5 - Prob. 8E Ch. 2.5 - Prob. 9E Ch. 2.5 - Prob. 10E Ch. 2.5 - Prob. 11E Ch. 2.5 - Prob. 12E Ch. 2.5 - Prob. 13E Ch. 2.5 - Prob. 14E Ch. 2.5 - Prob. 15E Ch. 2.5 - Prob. 16E Ch. 2.5 - Prob. 17E Ch. 2.5 - Prob. 18E Ch. 2.5 - Prob. 19E Ch. 2.5 - Prob. 20E Ch. 2.5 - Prob. 21E Ch. 2.5 - Prob. 22E Ch. 2.5 - Prob. 23E Ch. 2.5 - Prob. 24E Ch. 2.5 - Prob. 25E Ch. 2.5 - Prob. 26E Ch. 2.5 - Prob. 27E Ch. 2.5 - Prob. 28E Ch. 2.5 - Prob. 29E Ch. 2.5 - Prob. 30E Ch. 2.5 - Solve each system of equations by using the...Ch. 2.5 - Prob. 32E Ch. 2.5 - Prob. 33E Ch. 2.5 - Prob. 34E Ch. 2.5 - Prob. 35E Ch. 2.5 - Prob. 36E Ch. 2.5 - Prob. 37E Ch. 2.5 - Prob. 38E Ch. 2.5 - Prob. 39E Ch. 2.5 - Prob. 40E Ch. 2.5 - Prob. 41E Ch. 2.5 - Prob. 42E Ch. 2.5 - Prob. 43E Ch. 2.5 - Prob. 44E Ch. 2.5 - Prob. 45E Ch. 2.5 - Prob. 46E Ch. 2.5 - Prob. 47E Ch. 2.5 - Prob. 48E Ch. 2.5 - Prob. 49E Ch. 2.5 - Prob. 50E Ch. 2.5 - Prob. 51E Ch. 2.5 - Prob. 52E Ch. 2.5 - Prob. 53E Ch. 2.5 - Prob. 54E Ch. 2.5 - Prob. 55E Ch. 2.5 - Prob. 56E Ch. 2.5 - Prob. 57E Ch. 2.5 - Prob. 58E Ch. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 60E Ch. 2.5 - Solve each exercise by using the inverse of the...Ch. 2.5 - Prob. 62E Ch. 2.5 - Prob. 63E Ch. 2.5 - Encryption Use the matrices presented in Example 7...Ch. 2.5 - Prob. 65E Ch. 2.5 - Prob. 66E Ch. 2.6 - Prob. 1YT Ch. 2.6 - Prob. 2YT Ch. 2.6 - Prob. 1WE Ch. 2.6 - Prob. 2WE Ch. 2.6 - Prob. 1E Ch. 2.6 - Prob. 2E Ch. 2.6 - Prob. 3E Ch. 2.6 - Prob. 4E Ch. 2.6 - Prob. 5E Ch. 2.6 - Prob. 6E Ch. 2.6 - Prob. 7E Ch. 2.6 - Find the ratios of products A, B, and C using a...Ch. 2.6 - Prob. 9E Ch. 2.6 - Prob. 10E Ch. 2.6 - Business and Economics Input-Output Open Model In...Ch. 2.6 - Prob. 12E Ch. 2.6 - Prob. 13E Ch. 2.6 - Prob. 14E Ch. 2.6 - Prob. 15E Ch. 2.6 - Prob. 16E Ch. 2.6 - Prob. 17E Ch. 2.6 - Prob. 18E Ch. 2.6 - Prob. 19E Ch. 2.6 - Prob. 20E Ch. 2.6 - Prob. 21E Ch. 2.6 - Prob. 22E Ch. 2.6 - Prob. 23E Ch. 2.6 - Prob. 24E Ch. 2.6 - Prob. 25E Ch. 2.6 - Prob. 26E Ch. 2.6 - Prob. 27E Ch. 2.6 - Prob. 28E Ch. 2.6 - Prob. 29E Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 2RE Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 4RE Ch. 2 - Prob. 6RE Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 8RE Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 10RE Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 12RE Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 14RE Ch. 2 - Determine whether each of the following statements...Ch. 2 - Prob. 16RE Ch. 2 - What is true about the number of solutions to a...Ch. 2 - Prob. 18RE Ch. 2 - Solve each system by the echelon method. 19....Ch. 2 - Prob. 20RE Ch. 2 - Solve each system by the echelon method. 21....Ch. 2 - Prob. 22RE Ch. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 24RE Ch. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 26RE Ch. 2 - Use the Gauss-Jordan method to solve each system...Ch. 2 - Prob. 28RE Ch. 2 - Find the size of each matrix, find the values of...Ch. 2 - Prob. 30RE Ch. 2 - Find the size of each matrix, find the values of...Ch. 2 - Prob. 32RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 34RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 36RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 38RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 40RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 42RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 44RE Ch. 2 - Given the matrices...Ch. 2 - Prob. 46RE Ch. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 48RE Ch. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 50RE Ch. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 52RE Ch. 2 - Find the inverse, if it exists, for each matrix....Ch. 2 - Prob. 54RE Ch. 2 - Solve the matrix equation AX = B for X using the...Ch. 2 - Prob. 56RE Ch. 2 - Solve the matrix equation AX = B for X using the...Ch. 2 - Prob. 58RE Ch. 2 - Solve each system of equations by inverses. 59....Ch. 2 - Prob. 60RE Ch. 2 - Prob. 61RE Ch. 2 - Prob. 62RE Ch. 2 - Prob. 63RE Ch. 2 - Prob. 64RE Ch. 2 - Prob. 65RE Ch. 2 - Prob. 66RE Ch. 2 - Production Requirements The Waputi Indians make...Ch. 2 - Prob. 68RE Ch. 2 - Prob. 69RE Ch. 2 - Prob. 70RE Ch. 2 - Prob. 71RE Ch. 2 - Prob. 72RE Ch. 2 - Input-Output An economy depends on two...Ch. 2 - Nebraska The 1970 economy of the state of Nebraska...Ch. 2 - Prob. 75RE Ch. 2 - Prob. 76RE Ch. 2 - CAT Scans (Refer to Exercise 76.) Four X-ray beams...Ch. 2 - Prob. 78RE Ch. 2 - Prob. 79RE Ch. 2 - Prob. 80RE Ch. 2 - Prob. 81RE Ch. 2 - Prob. 82RE Ch. 2 - Prob. 83RE Ch. 2 - Baseball In the 2009 Major League Baseball season,...Ch. 2 - Prob. 85RE

Knowledge Booster

Background pattern image

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Elements Of Modern Algebra
Algebra
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Cengage Learning,

Text book image

College Algebra

Algebra

ISBN:9781337282291

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

Text book image

College Algebra (MindTap Course List)

Algebra

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:Cengage Learning

Text book image

Algebra for College Students

Algebra

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Cengage Learning

Text book image

Elements Of Modern Algebra

Algebra

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Cengage Learning,

SEE MORE TEXTBOOKS

Matrix Operations Full Length; Author: ProfRobBob;https://www.youtube.com/watch?v=K5BLNZw7UeU;License: Standard YouTube License, CC-BY

Intro to Matrices; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=yRwQ7A6jVLk;License: Standard YouTube License, CC-BY