Determine the standard matrix representation of the linear transformation T:RR'defined by T(x, y,z) = (3x+5y-z,4x-y+z,3x+2y-z) and compute T(-1,2,4) by direct substitution and also by matrix multiplication.

Determine the standard matrix representation of the linear transformation T:RR'defined by T(x, y,z) = (3x+5y-z,4x-y+z,3x+2y-z) and compute T(-1,2,4) by direct substitution and also by matrix multiplication.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...

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Question

Determine the standard matrix representation of the linear
transformation T:R R'defined by
T(x, y,z) = (3x+5y-z,4x-y+z,3x +2y-z)
and compute T(-1,2,4) by direct substitution and also by matrix
multiplication.

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