12. : R³ → R², 7(e₁) = (1,3), 7(e₂) = (4,2), and 7(e) = (-5, 4), where e₁,e2, e3 are the columns of the 3 x 3 identity matrix

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Can someone please explain to me ASAP? assume that T is a linear transformation. Find the standard matrix of T.
2₁
2. T: R³ R², 7(e₁) = (1,3), 7(e₂) = (4,2), and 7(e) =
(-5, 4), where e₁,e2, е3 are the columns of the 3 x 3 identity
matrix.
Transcribed Image Text:2₁ 2. T: R³ R², 7(e₁) = (1,3), 7(e₂) = (4,2), and 7(e) = (-5, 4), where e₁,e2, е3 are the columns of the 3 x 3 identity matrix.
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