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Math
Advanced Math
13. Find all possible 2 × 2 matrices X such that 1 2 00 3x-881 = [80] · 24 Χ 00
13. Find all possible 2 × 2 matrices X such that 1 2 00 3x-881 = [80] · 24 Χ 00
BUY
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:
9781305658004
Author: Ron Larson
Publisher:
Cengage Learning
expand_less
1 Systems Of Linear Equations
2 Matrices
3 Determinants
4 Vector Spaces
5 Inner Product Spaces
6 Linear Transformations
7 Eigenvalues And Eigenvectors
A Appendix
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3.1 The Determinants Of A Matrix
3.2 Determininants And Elementary Operations
3.3 Properties Of Determinants
3.4 Applications Of Determinants
3.CR Review Exercises
3.CM Cumulative Review
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Problem 1E: The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...
Problem 2E: The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...
Problem 3E: The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...
Problem 4E: The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|. Then...
Problem 5E: The determinant of a matrix product In Exercises 1-6, find (a)|A|,(b)|B|,(c)AB and (d)|AB|.Then...
Problem 6E
Problem 7E: The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...
Problem 8E
Problem 9E: The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...
Problem 10E
Problem 11E: The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...
Problem 12E: The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...
Problem 13E: The Determinant of a scalar multiple of a Matrix In Exercises 7-14, use the fact that |cA|=cn|A| to...
Problem 14E
Problem 15E: The Determinant of a Matrix Sum In Exercises 15-18, find (a)|A|,(b)|B|,(c)A+B and (d)|A+B|. Then...
Problem 16E
Problem 17E: The Determinant of a Matrix Sum In Exercises 15-18, find (a)|A|,(b)|B|,(c)A+Band(d)|A+B|.Then verify...
Problem 18E
Problem 19E: Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...
Problem 20E
Problem 21E: Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...
Problem 22E: Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...
Problem 23E: Classifying Matrices as Singular or Nonsingular In Exercises 19-24, use a determinant to decide...
Problem 24E
Problem 25E: The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...
Problem 26E: The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...
Problem 27E: The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...
Problem 28E: The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...
Problem 29E: The Determinant of a Matrix in Exercises 25-30, find |A1|.Being by finding A1, and then evaluate its...
Problem 30E
Problem 31E: System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...
Problem 32E: System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...
Problem 33E: System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...
Problem 34E: System of Linear Equation In Exercises 31-36, use the determinant of the coefficient matrix to...
Problem 35E
Problem 36E
Problem 37E: Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[k132k2]
Problem 38E: Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[k122k+2]
Problem 39E: Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[10301042k]
Problem 40E: Singular Matrices In Exercises 37-42, find the values of ksuch that Ais singular. A=[1k220k314]
Problem 41E: Singular Matrices In Exercises 37-42, find the values of k such that A is singular. A=[0k1k1k1k0]
Problem 42E
Problem 43E: Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....
Problem 44E
Problem 45E: Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....
Problem 46E
Problem 47E: Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....
Problem 48E
Problem 49E: Finding Determinants In Exercises 43-50, find (a)|AT|,(b)|A2|,(c)|AAT|,(d)|2A|, and (e)|A1|....
Problem 50E
Problem 51E: Finding Determinants In Exercises 51-56, use a software program or a graphing utility to find a |A|,...
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E: Let A and B be square matrices of order 4 such that |A|=5 and |B|=3.Find a |A2|, b |B2|, c |A3|, and...
Problem 58E: CAPSTONE Let A and B be square matrices of order 3 such that |A|=4 and |B|=5. a Find |AB| b Find...
Problem 59E: Proof Let A and B be nn matrices such that AB=I.Prove that |A|0 and |B|0.
Problem 60E
Problem 61E: Find two 22 matrices such that |A|+|B|=|A+B|.
Problem 62E
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
Problem 64E: Illustrate the result of Exercise 63 with the matrix A=[211312022]
Problem 65E: Guided Proof Prove that the determinant of an invertible matrix A is equal to 1 when all of the...
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E: Orthogonal Matrices in Exercises 73-78, determine whether the matrix is orthogonal. An invertible...
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E: Proof If A is an idempotent matrix (A2=A), then prove that the determinant of A is either 0 or 1.
Problem 84E
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13. Find all possible 2 × 2 matrices X such that 1 2 00 3x-881 = [80] · 24 Χ 00
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![13. Find all possible 2 × 2 matrices X such that
1 2
00
3x-881
= [80] ·
24
Χ
00](https://content.bartleby.com/qna-images/question/04750898-40b6-4507-9bb8-e18bccce9e61/5c9af1b5-b78d-40fe-ac93-6f0d0d584dbe/xj39ifr_processed.png)
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