Skip to main content

Math Calculus Calculus For The Life Sciences

Use a computer or graphing calculator and the following matrices to find the matrix products and sums in Exercises 3 9 − 4 1 . A = [ 2 3 − 1 5 10 2 8 7 4 3 − 1 − 4 − 12 6 8 2 5 7 1 4 ] , B = [ 9 3 7 − 6 − 1 0 4 2 − 10 − 7 6 9 8 4 2 − 1 2 − 5 3 7 ] C = [ − 6 8 2 4 − 3 1 9 7 − 12 5 15 2 − 8 10 11 4 7 9 6 − 2 1 3 8 23 4 ] , D = [ 5 − 3 7 9 2 6 8 − 5 2 1 3 7 − 4 2 11 5 − 3 9 4 − 1 0 3 2 5 1 ] a. Find A C . b. Find C A . c. Does A C = C A ?

Use a computer or graphing calculator and the following matrices to find the matrix products and sums in Exercises 3 9 − 4 1 . A = [ 2 3 − 1 5 10 2 8 7 4 3 − 1 − 4 − 12 6 8 2 5 7 1 4 ] , B = [ 9 3 7 − 6 − 1 0 4 2 − 10 − 7 6 9 8 4 2 − 1 2 − 5 3 7 ] C = [ − 6 8 2 4 − 3 1 9 7 − 12 5 15 2 − 8 10 11 4 7 9 6 − 2 1 3 8 23 4 ] , D = [ 5 − 3 7 9 2 6 8 − 5 2 1 3 7 − 4 2 11 5 − 3 9 4 − 1 0 3 2 5 1 ] a. Find A C . b. Find C A . c. Does A C = C A ?

Solution Summary: The author explains how to find the value of AC using a graphing calculator.

Calculus For The Life Sciences

Calculus For The Life Sciences

2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

See similar textbooks

Videos

Textbook Question

Chapter 10.3, Problem 39E

Use a computer or graphing calculator and the following matrices to find the matrix products and sums in Exercises 3 9 − 4 1 .

A = [ 2 3 − 1 5 10 2 8 7 4 3 − 1 − 4 − 12 6 8 2 5 7 1 4 ] , B = [ 9 3 7 − 6 − 1 0 4 2 − 10 − 7 6 9 8 4 2 − 1 2 − 5 3 7 ]

C = [ − 6 8 2 4 − 3 1 9 7 − 12 5 15 2 − 8 10 11 4 7 9 6 − 2 1 3 8 23 4 ] , D = [ 5 − 3 7 9 2 6 8 − 5 2 1 3 7 − 4 2 11 5 − 3 9 4 − 1 0 3 2 5 1 ]

a. Find A C .

b. Find C A .

c. Does A C = C A ?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

Blurred answer

Chapter 10.3, Problem 38E

Chapter 10.3, Problem 40E

Chapter 10 Solutions

Calculus For The Life Sciences

Ch. 10.1 - YOUR TURN Use the Gauss-Jordan method to solve the...Ch. 10.1 - Prob. 2YT Ch. 10.1 - Prob. 3YT Ch. 10.1 - Write the augmented matrix for each system. Do not...Ch. 10.1 - Write the augmented matrix for each system. Do not...Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Write the system of equations associated with each...Ch. 10.1 - Write the system of equations associated with each...Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - _ on a matrix correspond to transformations of a...Ch. 10.1 - Describe in your own words what 2R1+R3R3 means.Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 18E Ch. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 20E Ch. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 22E Ch. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 24E Ch. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - On National Public Radio, the "Weekend Edition"...Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Mixing Plant Foods Natural brand plant food is...Ch. 10.1 - 10.1 Exercises Surveys The president of Sams...Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 61E Ch. 10.1 - Prob. 62E Ch. 10.1 - Prob. 63E Ch. 10.1 - Prob. 64E Ch. 10.1 - Prob. 68E Ch. 10.2 - YOUR TURN Find each sum, if possible. a...Ch. 10.2 - Prob. 2YT Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - EXERCISES Find the size of each matrix. Identify...Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Find the size of each matrix. Identify any square,...Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Perform the indicated operations, where possible....Ch. 10.2 - Prob. 28E Ch. 10.2 - Perform the indicated operations, where possible....Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 32E Ch. 10.2 - For matrices X=[xyzw] and 0=[0000], find the...Ch. 10.2 - Prob. 34E Ch. 10.2 - Prob. 35E Ch. 10.2 - Prob. 36E Ch. 10.2 - Prob. 37E Ch. 10.2 - Prob. 39E Ch. 10.2 - Prob. 40E Ch. 10.2 - Prob. 42E Ch. 10.2 - Prob. 43E Ch. 10.2 - OTHER APPLICATIONS Car Accidents The tables in the...Ch. 10.2 - Prob. 48E Ch. 10.2 - Prob. 49E Ch. 10.3 - YOUR TURN Calculate the product AB where A=[3412]...Ch. 10.3 - Prob. 2YT Ch. 10.3 - Let A=[-2403]and B=[-6240]. Find each value. 2A Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - Prob. 10E Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - To find the product matrix AB. the number of...Ch. 10.3 - Prob. 14E Ch. 10.3 - Prob. 15E Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Prob. 24E Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - EXERCISES Find each matrix product, if possible....Ch. 10.3 - EXERCISES Find each matrix product, if possible....Ch. 10.3 - EXERCISES Let A=[2413] and B=[2136] a. Find AB. b....Ch. 10.3 - Given matrices P=[mnpq], X=[xyzw], and T=[rstu],...Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Show that the system of linear equations...Ch. 10.3 - Let A=[1235], X=[x1x2] and B=[412], Show that the...Ch. 10.3 - Use a computer or graphing calculator and the...Ch. 10.3 - Prob. 40E Ch. 10.3 - Prob. 41E Ch. 10.3 - Prob. 42E Ch. 10.3 - LIFE SCIENCE APPLICATIONS Dietetics In Exercise 39...Ch. 10.3 - Prob. 44E Ch. 10.3 - Prob. 45E Ch. 10.3 - Prob. 46E Ch. 10.3 - Prob. 48E Ch. 10.3 - Prob. 49E Ch. 10.3 - Prob. 50E Ch. 10.3 - Prob. 51E Ch. 10.3 - Shoe Sales SalsShoes and Freds Footwear both have...Ch. 10.4 - YOUR TURN Use the inverse of the coefficient...Ch. 10.4 - EXERCISES Decide whether the given matrices are...Ch. 10.4 - Prob. 2E Ch. 10.4 - Prob. 3E Ch. 10.4 - Prob. 4E Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.4 - Prob. 7E Ch. 10.4 - Prob. 8E Ch. 10.4 - Prob. 9E Ch. 10.4 - Prob. 11E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 13E Ch. 10.4 - Find the inverse, if it exists, for each matrix....Ch. 10.4 - Prob. 15E Ch. 10.4 - Prob. 16E Ch. 10.4 - Find the inverse, if it exists, for each matrix....Ch. 10.4 - Prob. 18E Ch. 10.4 - Prob. 19E Ch. 10.4 - Prob. 20E Ch. 10.4 - Prob. 21E Ch. 10.4 - Prob. 22E Ch. 10.4 - Prob. 23E Ch. 10.4 - Prob. 24E Ch. 10.4 - Prob. 25E Ch. 10.4 - Prob. 26E Ch. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Prob. 28E Ch. 10.4 - Prob. 29E Ch. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Prob. 32E Ch. 10.4 - Prob. 35E Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Prob. 40E Ch. 10.4 - Prob. 41E Ch. 10.4 - Prob. 42E Ch. 10.4 - Let A=[abcd]and 0=[0000]in Exercises 43-48. Show...Ch. 10.4 - Let A=[abcd]and 0=[0000]in Exercises 43-48. Show...Ch. 10.4 - Prob. 45E Ch. 10.4 - Prob. 46E Ch. 10.4 - Prob. 47E Ch. 10.4 - Prob. 48E Ch. 10.4 - Prob. 49E Ch. 10.4 - Prob. 50E Ch. 10.4 - Prob. 59E Ch. 10.4 - Prob. 60E Ch. 10.4 - Prob. 61E Ch. 10.4 - Prob. 62E Ch. 10.4 - Prob. 63E Ch. 10.4 - Prob. 64E Ch. 10.4 - Prob. 65E Ch. 10.4 - Prob. 66E Ch. 10.4 - Prob. 67E Ch. 10.5 - Find the determinant of the following matrices....Ch. 10.5 - Find the determinant of the following matrices....Ch. 10.5 - Prob. 3E Ch. 10.5 - Prob. 4E Ch. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 6E Ch. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 8E Ch. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 11E Ch. 10.5 - Prob. 12E Ch. 10.5 - Prob. 13E Ch. 10.5 - In exercise 14 and 15, each 22matrix has only one...Ch. 10.5 - Prob. 15E Ch. 10.5 - Prob. 16E Ch. 10.5 - In Exercises 16 and 17, each matrix has complex...Ch. 10.5 - Prob. 18E Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Prob. 23E Ch. 10.5 - Prob. 26E Ch. 10.CR - Prob. 1CR Ch. 10.CR - Prob. 2CR Ch. 10.CR - Prob. 3CR Ch. 10.CR - Prob. 4CR Ch. 10.CR - Prob. 5CR Ch. 10.CR - Prob. 6CR Ch. 10.CR - Prob. 7CR Ch. 10.CR - Prob. 8CR Ch. 10.CR - Prob. 9CR Ch. 10.CR - Prob. 10CR Ch. 10.CR - Prob. 11CR Ch. 10.CR - Prob. 12CR Ch. 10.CR - Prob. 13CR Ch. 10.CR - Prob. 14CR Ch. 10.CR - Prob. 15CR Ch. 10.CR - Prob. 16CR Ch. 10.CR - Prob. 17CR Ch. 10.CR - Prob. 18CR Ch. 10.CR - Prob. 19CR Ch. 10.CR - Prob. 20CR Ch. 10.CR - Prob. 21CR Ch. 10.CR - Prob. 22CR Ch. 10.CR - Prob. 23CR Ch. 10.CR - Prob. 24CR Ch. 10.CR - Prob. 25CR Ch. 10.CR - Prob. 26CR Ch. 10.CR - Prob. 27CR Ch. 10.CR - Prob. 28CR Ch. 10.CR - Prob. 29CR Ch. 10.CR - Prob. 30CR Ch. 10.CR - Prob. 31CR Ch. 10.CR - Prob. 32CR Ch. 10.CR - Prob. 33CR Ch. 10.CR - Prob. 34CR Ch. 10.CR - Prob. 35CR Ch. 10.CR - Prob. 36CR Ch. 10.CR - Prob. 37CR Ch. 10.CR - Prob. 38CR Ch. 10.CR - Prob. 39CR Ch. 10.CR - Prob. 40CR Ch. 10.CR - Prob. 41CR Ch. 10.CR - Prob. 42CR Ch. 10.CR - Prob. 43CR Ch. 10.CR - Prob. 44CR Ch. 10.CR - Prob. 45CR Ch. 10.CR - Prob. 46CR Ch. 10.CR - Prob. 47CR Ch. 10.CR - Prob. 48CR Ch. 10.CR - Prob. 49CR Ch. 10.CR - Prob. 50CR Ch. 10.CR - Prob. 51CR Ch. 10.CR - Prob. 52CR Ch. 10.CR - Prob. 53CR Ch. 10.CR - Prob. 54CR Ch. 10.CR - Prob. 55CR Ch. 10.CR - Prob. 56CR Ch. 10.CR - Prob. 57CR Ch. 10.CR - Prob. 58CR Ch. 10.CR - Prob. 59CR Ch. 10.CR - Prob. 60CR Ch. 10.CR - Prob. 61CR Ch. 10.CR - Prob. 62CR Ch. 10.CR - Prob. 63CR Ch. 10.CR - Prob. 70CR Ch. 10.CR - Prob. 71CR Ch. 10.CR - Prob. 78CR Ch. 10.CR - Prob. 79CR Ch. 10.CR - Baseball In the 2009 Major league Baseball season,...Ch. 10.CR - Prob. 81CR Ch. 10.EA - Find the second-order contact matrix PQ mentioned...Ch. 10.EA - Prob. 2EA Ch. 10.EA - Prob. 3EA Ch. 10.EA - Prob. 4EA

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

Use elementary matrices to find the inverse of A=100010abc, c0.
Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.
Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be used to create a leading 1 at the top of the first column. Which do you prefer and why?

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning

Text book image

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:9781133382119

Author:Swokowski

Publisher:Cengage

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

Algebra

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

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 (MindTap Course List)

Algebra

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:Cengage Learning

Text book image

Linear Algebra: A Modern Introduction

Algebra

ISBN:9781285463247

Author:David Poole

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY

WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY