uppose you have the two matrices A and B shown below: 7 -3 A = | 2 9 4 1 1 B= 0 1 0. 1 2 0 0 1 A friend of yours claims that when you multiply matrices A and B in any order (A B or B. A), the result is the same as matrix A. Is this claim correct? Why or why not? O Yes because B is the identity matrix.
uppose you have the two matrices A and B shown below: 7 -3 A = | 2 9 4 1 1 B= 0 1 0. 1 2 0 0 1 A friend of yours claims that when you multiply matrices A and B in any order (A B or B. A), the result is the same as matrix A. Is this claim correct? Why or why not? O Yes because B is the identity matrix.
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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Transcribed Image Text:Suppose you have the two matrices A and B shown below:
4 7 -3
A= | 2 9
1
B= |0 1 0
1
2
A friend of yours claims that when you multiply matrices A and Bin any
order (A Bor B. A), the result is the same as matrix A. Is this claim
correct? Why or why not?
O Yes because B is the identity matrix.
O No because the order you multiply matrices always changes the result.
O Yes because the order you multiply matrices doesn't affect the result.
O No because you can't multiply the two matrices together.
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