13. A and B are two square matrices of the same dimension. We are given thatAw = 5w and Bw=3w. Choose the right sentence:a) The two matrices are equal (A=B)b) A anà B are ünagundinzhitc) A and B are invertibled) A+B has an eigenvalue 8 and AB has an eigenvalue 15e) None of the above 15. Two 3x3 square matrices A and B satisfy the equation B=2A. Choose the right sentence:a) det(B)=8det(A)d) det(B)=12det(A) e) None of the aboveb) det(B)=2det(A)c) det(B)=4det(A)16. The vectors (1,2,3) and (0,1,1) are a basis for the column space of each of thefollowing matrices except one. It is:[1 0 2 0][1 0 0[1 01

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13. A and B are two square matrices of the same dimension. We are given that Aw = 5w and Bw=3w. Choose the right sentence: a) The two matrices are equal (A=B) b) A anà B are Eivagundizhin c) A and B are invertible d) A+B has an eigenvalue 8 and AB has an eigenvalue 15

13. A and B are two square matrices of the same dimension. We are given that Aw = 5w and Bw=3w. Choose the right sentence: a) The two matrices are equal (A=B) b) A anà B are Eivagundizhin c) A and B are invertible d) A+B has an eigenvalue 8 and AB has an eigenvalue 15

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 26EQ

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Question

13. A and B are two square matrices of the same dimension. We are given that
Aw = 5w and Bw=3w. Choose the right sentence:
a) The two matrices are equal (A=B)
b) A anà B are ünagundinzhit
c) A and B are invertible
d) A+B has an eigenvalue 8 and AB has an eigenvalue 15
e) None of the above

15. Two 3x3 square matrices A and B satisfy the equation B=2A. Choose the right sentence:
a) det(B)=8det(A)
d) det(B)=12det(A) e) None of the above
b) det(B)=2det(A)
c) det(B)=4det(A)
16. The vectors (1,2,3) and (0,1,1) are a basis for the column space of each of the
following matrices except one. It is:
[1 0 2 0]
[1 0 0
[1 0
1

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