Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.2, Problem 13EQ
Compute the determinants in Exercises 7-15 using cofactor expansion along any row or column that seems convenient.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the determinant of A =
-[
0
1
4
-
1
2
0 3
3
8
using a cofactor expansion.
Compute the determinants in using cofactor expansion along the first row and along the first column.
Compute the determinants in Exercises 9-14 by cofactor expansions. At each
step, choose a row or column that involves the least amount of computation.
9. 4 0 0 5
17 2-5
300 0
8 3 1 7
Chapter 4 Solutions
Linear Algebra: A Modern Introduction
Ch. 4.1 - In Exercises 1-6, show that is an eigenvector of A...Ch. 4.1 - In Exercises 1-6, show that vis an eigenvector of...Ch. 4.1 - Prob. 3EQCh. 4.1 - In Exercises 1-6, show that vis an eigenvector of...Ch. 4.1 - In Exercises 1-6, show that vis an eigenvector of...Ch. 4.1 - In Exercises 1-6, show that is an eigenvector of A...Ch. 4.1 - In Exercises 7-12, show that is an eigenvector of...Ch. 4.1 - In Exercises 7-12, show that is an eigenvector of...Ch. 4.1 - In Exercises 7-12, show that is an eigenvector of...Ch. 4.1 - In Exercises 7-12, show that is an eigenvector of...
Ch. 4.1 - In Exercises 7-12, show that is an eigenvector of...Ch. 4.1 - In Exercises 7-12, show that is an eigenvector of...Ch. 4.1 - In Exercises 23-26, use the method of Example 4.5...Ch. 4.1 - In Exercises 23-26, use the method of Example 4.5...Ch. 4.1 - In Exercises 23-26, use the method of Example 4.5...Ch. 4.1 - In Exercises 31-34, find all of the eigenvalues of...Ch. 4.1 - Prob. 32EQCh. 4.1 - In Exercises 31-34, find all of the eigenvalues of...Ch. 4.1 - Consider again the matrix A in Exercise 35. Give...Ch. 4.2 - Compute the determinants in Exercises 1-6 using...Ch. 4.2 - Compute the determinants in Exercises 1-6 using...Ch. 4.2 - Compute the determinants in Exercises 1-6 using...Ch. 4.2 - Compute the determinants in Exercises 1-6 using...Ch. 4.2 - Compute the determinants in Exercises 1-6 using...Ch. 4.2 - Compute the determinants in Exercises 1-6 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Compute the determinants in Exercises 7-15 using...Ch. 4.2 - Prob. 24EQCh. 4.2 - Prob. 26EQCh. 4.2 - Prob. 27EQCh. 4.2 - In Exercises 26-34, use properties of determinants...Ch. 4.2 - Prob. 29EQCh. 4.2 - Prob. 30EQCh. 4.2 - Prob. 31EQCh. 4.2 - In Exercises 26-34, use properties of determinants...Ch. 4.2 - Prob. 33EQCh. 4.2 - In Exercises 26-34, use properties of determinants...Ch. 4.2 - Find the determinants in Exercises 35-40, assuming...Ch. 4.2 - Find the determinants in Exercises 35-40, assuming...Ch. 4.2 - Find the determinants in Exercises 35-40, assuming...Ch. 4.2 - Find the determinants in Exercises 35-40, assuming...Ch. 4.2 -
Find the determinants in Exercises 35-40,...Ch. 4.2 - Prob. 45EQCh. 4.2 - In Exercises 45 and 46, use Theorem 4.6 to find...Ch. 4.2 - In Exercises 47-52, assume that A and B are nn...Ch. 4.2 - In Exercises 47-52, assume that A and B are n n...Ch. 4.2 -
In Exercises 47-52, assume that A and B are n ×...Ch. 4.2 -
In Exercises 47-52, assume that A and B are n × n...Ch. 4.2 - In Exercises 47-52, assume that A and B are nn...Ch. 4.2 - In Exercises 47-52, assume that A and B are nn...Ch. 4.2 - Prob. 53EQCh. 4.2 - Prob. 57EQCh. 4.2 - Prob. 58EQCh. 4.2 - Prob. 59EQCh. 4.2 - In Exercises 57-60, use Cramer's Rule to solve the...Ch. 4.2 - Prob. 61EQCh. 4.2 - Prob. 62EQCh. 4.2 - Prob. 63EQCh. 4.2 - Prob. 64EQCh. 4.3 - In Exercises 1-12, compute (a) the characteristic...Ch. 4.3 - Prob. 2EQCh. 4.3 - In Exercises 1-12, compute (a) the characteristic...Ch. 4.3 - In Exercises 1-12, compute (a) the characteristic...Ch. 4.3 - In Exercises 1-12, compute (a) the characteristic...Ch. 4.3 - In Exercises 1-12, compute (a) the characteristic...Ch. 4.3 - Prob. 7EQCh. 4.3 - In Exercises 1-12, compute (a) the characteristic...Ch. 4.4 - Prob. 5EQCh. 4.4 - Prob. 6EQCh. 4.4 - Prob. 7EQCh. 4.4 -
In general, it is difficult to show that two...Ch. 4.6 - Let x=x(t) be a twice-differentiable function and...
Knowledge Booster
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
- Compute the determinants in Exercises 1-6 using cofactor expansion along the first row and along the first column. 3.arrow_forwardCompute the determinants in Exercises 7-15 using cofactor expansion along any row or column that seems convenient. 11.arrow_forwardCompute the determinants in Exercises 7-15 using cofactor expansion along any row or column that seems convenient. [0a0bcd0e0]arrow_forward
- Compute the determinants in Exercises 7-15 using cofactor expansion along any row or column that seems convenient. [000a00bc0defghij]arrow_forwardCompute the determinants in Exercises 7-15 using cofactor expansion along any row or column that seems convenient. 10.arrow_forwardFind the determinant of the matrix in Exercise 15 using the method of expansion by cofactors. Use a the second row and b the second column. 15. [321456231]arrow_forward
- Find the determinant of the matrix in Exercise 16 using the method of expansion by cofactors. Use a the third row and b the first column. 16. [342631478]arrow_forwardIn Exercises 26-34, use properties of determinants to evaluate the given determinant by inspection. Explain your reasoning. 34.arrow_forwardThe Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to evaluate the determinant of the nn matrix. A=[5151020]arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
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
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