Elementary Linear Algebra: Applications Version
Elementary Linear Algebra: Applications Version
12th Edition
ISBN: 9781119282365
Author: Howard Anton, Chris Rorres, Anton Kaul
Publisher: WILEY
bartleby

Videos

Textbook Question
Book Icon
Chapter 2.1, Problem 26E

In Exercises 21–26, evaluate det(A) by a cofactor expansion along a row or column of your choice.

A = [ 4 0 0 1 0 3 3 3 − 1 0 1 2 4 2 3 9 4 6 2 3 2 2 4 2 3 ]

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 2.1, Problem 25E
Next
Chapter 2.1, Problem 27E
Students have asked these similar questions
question 11
Question 15
Determine the first 3 terms in the Maclaurin expansion of y = esin² T + X + x².

Chapter 2 Solutions

Elementary Linear Algebra: Applications Version

Ch. 2.1 - In Exercises 12, find all the minors and cofactors...Ch. 2.1 - In Exercises 12, find all the minors and cofactors...Ch. 2.1 - Let A=[41160033410144132] Find a. M13 and C13 b....Ch. 2.1 - Let A=[2311320332103214] Find a. M32 and C32 b....Ch. 2.1 - In Exercises 58, evaluate the determinant of the...Ch. 2.1 - In Exercises 58, evaluate the determinant of the...Ch. 2.1 - In Exercises 58, evaluate the determinant of the...Ch. 2.1 - In Exercises 58, evaluate the determinant of the...Ch. 2.1 - In Exercises 914, use the arrow technique of...Ch. 2.1 - In Exercises 914, use the arrow technique of...
Ch. 2.1 - In Exercises 914, use the arrow technique of...Ch. 2.1 - In Exercises 914, use the arrow technique of...Ch. 2.1 - In Exercises 914, use the arrow technique of...Ch. 2.1 - In Exercises 914, use the arrow technique of...Ch. 2.1 - In Exercises 1518, find all values of for which...Ch. 2.1 - In Exercises 1518, find all values of for which...Ch. 2.1 - In Exercises 1518, find all values of for which...Ch. 2.1 - In Exercises 1518, find all values of for which...Ch. 2.1 - Evaluate the determinant in Exercise 13 by a...Ch. 2.1 - Evaluate the determinant in Exercise 12 by a...Ch. 2.1 - In Exercises 2126, evaluate det(A) by a cofactor...Ch. 2.1 - In Exercises 2126, evaluate det(A) by a cofactor...Ch. 2.1 - In Exercises 2126, evaluate det(A) by a cofactor...Ch. 2.1 - In Exercises 2126, evaluate det(A) by a cofactor...Ch. 2.1 - In Exercises 2126, evaluate det(A) by a cofactor...Ch. 2.1 - In Exercises 2126, evaluate det(A) by a cofactor...Ch. 2.1 - In Exercises 2732, evaluate the determinant of the...Ch. 2.1 - In Exercises 2732, evaluate the determinant of the...Ch. 2.1 - In Exercises 2732, evaluate the determinant of the...Ch. 2.1 - In Exercises 2732, evaluate the determinant of the...Ch. 2.1 - In Exercises 2732, evaluate the determinant of the...Ch. 2.1 - In Exercises 2732, evaluate the determinant of the...Ch. 2.1 - In each part, show that the value of the...Ch. 2.1 - Show that the matrices A=[ab0c]andB=[de0f] commute...Ch. 2.1 - By inspection, what is the relationship between...Ch. 2.1 - Show that det(A)=12|tr(A)1tr(A2)tr(A)| for every 2...Ch. 2.1 - What can you say about an nth-order determinant...Ch. 2.1 - What is the maximum number of zeros that a 3 3...Ch. 2.1 - Explain why the determinant of a matrix with...Ch. 2.1 - prove that (x1, y1), (x2, y2), and (x3, y3) are...Ch. 2.1 - Prove that the equation of the line through the...Ch. 2.1 - Prove that if A is upper triangular and Bij is the...Ch. 2.1 - A matrix in which the entries in each row (or in...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)( j) determine whether the statement...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)( j) determine whether the statement...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.1 - In parts (a)(j) determine whether the statement is...Ch. 2.2 - In Exercises 14, verify that det(A) = det(AT)...Ch. 2.2 - In Exercises 14, verify that det(A) = det(AT)....Ch. 2.2 - In Exercises 14, verify that det(A) = det(AT)...Ch. 2.2 - In Exercises 14, verify that det(A) = det(AT)....Ch. 2.2 - In Exercises 58, find the determinant of the given...Ch. 2.2 - In Exercises 58, find the determinant of the given...Ch. 2.2 - In Exercises 58, find the determinant of the given...Ch. 2.2 - In Exercises 58, find the determinant of the given...Ch. 2.2 - In Exercises 914, evaluate the determinant of the...Ch. 2.2 - In Exercises 914, evaluate the determinant of the...Ch. 2.2 - In Exercises 914, evaluate the determinant of the...Ch. 2.2 - In Exercises 914, evaluate the determinant of the...Ch. 2.2 - In Exercises 914, evaluate the determinant of the...Ch. 2.2 - In Exercises 914, evaluate the determinant of the...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - In Exercises 1522, evaluate the determinant, given...Ch. 2.2 - Use row reduction to show that...Ch. 2.2 - Verify the formulas in parts (a) and (b) and then...Ch. 2.2 - In Exercises 2528, confirm the identities without...Ch. 2.2 - In Exercises 2528, confirm the identities without...Ch. 2.2 - In Exercises 2528, confirm the identities without...Ch. 2.2 - In Exercises 2528, confirm the identities without...Ch. 2.2 - In Exercises 2930, show that det (A) = 0 without...Ch. 2.2 - In Exercises 2930, show that det (A) = 0 without...Ch. 2.2 - It can be proved that if a square matrix M is...Ch. 2.2 - It can be proved that if a square matrix M is...Ch. 2.2 - Let A be an n n matrix, and let B be the matrix...Ch. 2.2 - Find the determinant of the following matrix....Ch. 2.2 - In parts (a)(f) determine whether the statement is...Ch. 2.2 - In parts (a)(f) determine whether the statement is...Ch. 2.2 - In parts (a)(f) determine whether the statement is...Ch. 2.2 - In parts (a)(f) determine whether the statement is...Ch. 2.2 - In parts (a)(f) determine whether the statement is...Ch. 2.2 - In parts (a)(f) determine whether the statement is...Ch. 2.3 - In Exercises 14, verify that det(kA) = kn det(A)....Ch. 2.3 - In Exercises 14, verify that det(kA) = kn det(A)....Ch. 2.3 - In Exercises 14, verify that det (kA) = kn det...Ch. 2.3 - In Exercises 14, verify that det (KA) = Kn det(A)....Ch. 2.3 - In Exercises 56, verify that det (AB) = det (BA)...Ch. 2.3 - In Exercises 56, verify that det(AB) = det(BA) and...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 714, use determinants to decide...Ch. 2.3 - In Exercises 1518, find the values of k for which...Ch. 2.3 - In Exercises 1518, find the values of k for which...Ch. 2.3 - In Exercises 1518, find the values of k for which...Ch. 2.3 - In Exercises 1518, find the values of k for which...Ch. 2.3 - In Exercises 1923, decide whether the matrix is...Ch. 2.3 - In Exercises 1923, decide whether the matrix is...Ch. 2.3 - In Exercises 1923, decide whether the matrix is...Ch. 2.3 - In Exercises 1923, decide whether the matrix is...Ch. 2.3 - In Exercises 1923, decide whether the matrix is...Ch. 2.3 - In Exercises 2429, solve by Cramers rule, where it...Ch. 2.3 - In Exercises 2429, solve by Cramers rule, where it...Ch. 2.3 - In Exercises 2429, solve by Cramers rule, where it...Ch. 2.3 - In Exercises 2429, solve by Cramers rule, where it...Ch. 2.3 - In Exercises 2429, solve by Cramers rule, where it...Ch. 2.3 - In Exercises 2429, solve by Cramers rule, where it...Ch. 2.3 - Show that the matrix A=[cossin0sincos0001] is...Ch. 2.3 - Use Cramers rule to solve for the unknown y...Ch. 2.3 - Let Ax = b be the system in Exercise 31 a. Solve...Ch. 2.3 - Let A=[abcdefghi] Assuming that det(A) = 7, find...Ch. 2.3 - In each part, find the determinant given that A is...Ch. 2.3 - In each part, find the determinant given that A is...Ch. 2.3 - Prove that a square matrix A is invertible if and...Ch. 2.3 - Prove that if A is a square matrix, then det(AT) =...Ch. 2.3 - Let Ax = b be a system of n linear equations in n...Ch. 2.3 - Prove that if det(A) = 1 and all the entries in A...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - In parts (a)(l) determine whether the statement is...Ch. 2.3 - Prob. 12TFCh. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - In Exercises 18, evaluate the determinant of the...Ch. 2 - Evaluate the determinants in Exercises 36 by using...Ch. 2 - a. Construct a 4 4 matrix whose determinant is...Ch. 2 - Use the determinant to decide whether the matrices...Ch. 2 - Use the determinant to decide whether the matrices...Ch. 2 - In Exercises 1315, find the given determinant by...Ch. 2 - In Exercises 1315, find the given determinant by...Ch. 2 - In Exercises 1315, find the given determinant by...Ch. 2 - Solve for x. |x131x|=|1032x613x5|Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - In Exercises 1724, use the adjoint method (Theorem...Ch. 2 - Use Cramers rule to solve for x and y in terms of...Ch. 2 - Use Cramers rule to solve for x and y in terms of...Ch. 2 - By examining the determinant of the coefficient...Ch. 2 - Let A be a 3 3 matrix, each of whose entries is 1...Ch. 2 - a. For the triangle in the accompanying figure,...Ch. 2 - Use determinants to show that for all real values...Ch. 2 - Prove: If A is invertible, then adj(A) is...Ch. 2 - Prove: If A is an n n matrix, then...Ch. 2 - Prove: If the entries in each row of an n n...Ch. 2 - a. In the accompanying figure, the area of the...Ch. 2 - Use the fact that 21375, 38798, 34162, 40223,...Ch. 2 - Without directly evaluating the determinant, show...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...

College Algebra (7th Edition)

A linear equation is solved by using the intersection of graphs method. Find the solution by interpreting the g...

College Algebra with Modeling & Visualization (5th Edition)

the given expression as a rational expression.

Algebra 1

Find a polynomial equation with real coefficients that has the given roots. 1, 2 – 3i

College Algebra (6th Edition)

Solve each formula for the given letter . [2.3] What percent of 60 is 42? [2.4]

Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)

Use Gaussian elimination to find the determinant of the matrices A in Exercises 1 through 10. 1. [111133225]

Linear Algebra with Applications (2-Download)

Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
SEE MORE TEXTBOOKS
HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY
What are Determinants? Mathematics; Author: Edmerls;https://www.youtube.com/watch?v=v4_dxD4jpgM;License: Standard YouTube License, CC-BY