Assume that T is a linear transformation. Find the standard matrix of T. T: R³→R?, T(e, ) = (1,8), and T (e2) =(-8,7), and T (e3) = (8, – 3), where e,, e2, and ez are the columns of the 3x3 identity matrix. A = (Type an integer or decimal for each matrix element.)

Assume that T is a linear transformation. Find the standard matrix of T. T: R³→R?, T(e, ) = (1,8), and T (e2) =(-8,7), and T (e3) = (8, – 3), where e,, e2, and ez are the columns of the 3x3 identity matrix. A = (Type an integer or decimal for each matrix element.)

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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Question

Assume that T is a linear transformation. Find the standard matrix of T.
T: R°→R?, T (e,) = (1,8), and T (e2) = (- 8,7), and T(e3) = (8, – 3), where e,, e2, and ez are the columns of the 3x3 identity matrix.
%3D
A =
(Type an integer or decimal for each matrix element.)

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