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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F713cce4a-87a5-4342-abee-be55fd30ab8b%2F46b88bb5-bf13-45fa-8956-f098db19fe52%2Fp3padrc_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F713cce4a-87a5-4342-abee-be55fd30ab8b%2F46b88bb5-bf13-45fa-8956-f098db19fe52%2Fivm53ut_processed.jpeg&w=3840&q=75)
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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