Assume that T is a linear transformation. Find the standard matrix of T. T: R°→R2, T (e,) = (1,7), and T (e2) = (- 8,3), and T(e3) = (7, – 4), where e,, e2, and eg are the columns of the 3×3 identity matrix.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...
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Assume that T is a linear transformation. Find the standard matrix of T.
T: R°→R2, T (e,) = (1,7), and T (e2) = (- 8,3), and T(e3) = (7, – 4), where e,, e2, and eg are the columns of the 3×3 identity matrix.
Transcribed Image Text:Assume that T is a linear transformation. Find the standard matrix of T. T: R°→R2, T (e,) = (1,7), and T (e2) = (- 8,3), and T(e3) = (7, – 4), where e,, e2, and eg are the columns of the 3×3 identity matrix.
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