3 Let A: R3 R2 and B: R2 R¹ be matrix transforma- tions with matrices MA = 2 1 0 2 3 0 o ] and MB = [32] and let M be the matrix for T = BoA. (a) Find M, by computing input-output pairs for T. (b) Find M, by using matrix multiplication applied to MA and MB.

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Chapter3: Determinants
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Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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3 Let A: R3 R2 and B: R2 R¹ be matrix transforma-
tions with matrices
MA
=
2
1 0
2
3
0
o ]
and MB = [32]
and let M be the matrix for T = BoA.
(a) Find M, by computing input-output pairs for T.
(b) Find M, by using matrix multiplication applied to
MA and MB.
Transcribed Image Text:3 Let A: R3 R2 and B: R2 R¹ be matrix transforma- tions with matrices MA = 2 1 0 2 3 0 o ] and MB = [32] and let M be the matrix for T = BoA. (a) Find M, by computing input-output pairs for T. (b) Find M, by using matrix multiplication applied to MA and MB.
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