For the matrices 2 -3 5 A = [² -2 ] and 8 = [² -2] B 4 1 1 in M2,2, determine whether the given matrix is a linear combination of A and B. -4 -5 10 3 The matrix is a linear combination of A and B. The matrix is not a linear combination of A and B.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For the matrices
2
-3
5
A = [² -2 ] and 8 = [² -2]
B
4
1
1
in M2,2, determine whether the given matrix is a linear combination of A and B.
-4 -5
10 3
The matrix is a linear combination of A and B.
The matrix is not a linear combination of A and B.
Transcribed Image Text:For the matrices 2 -3 5 A = [² -2 ] and 8 = [² -2] B 4 1 1 in M2,2, determine whether the given matrix is a linear combination of A and B. -4 -5 10 3 The matrix is a linear combination of A and B. The matrix is not a linear combination of A and B.
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