Assume that T is a linear transformation. Find the standard matrix of T. T: R³ →R², T (e₁) = (1,3), and T (e₂) = (-5,4), and T (13) = (3,-2), where e₁, 2, and e3 are the columns of the 3x3 identity matrix. A = (Type an integer or decimal for each matrix element.)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Assume that T is a linear transformation. Find the standard matrix of T.
T: R³ →R², T(e₁) = (1,3), and T (e₂) = (- 5,4), and T (e3) = (3, − 2), where e₁, e₂, and e3 are the columns of the
3x3 identity matrix.
A= (Type an integer or decimal for each matrix element.)
Transcribed Image Text:Assume that T is a linear transformation. Find the standard matrix of T. T: R³ →R², T(e₁) = (1,3), and T (e₂) = (- 5,4), and T (e3) = (3, − 2), where e₁, e₂, and e3 are the columns of the 3x3 identity matrix. A= (Type an integer or decimal for each matrix element.)
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