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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 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
Transcribed Image Text: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
Transcribed Image Text: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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