Exercise 6.2.5 Consider the following linear transformations T: R³ → R². For each, determine the matrix A such that T(x) = Ax. (a) T X y = x+2y+3z 2y-3x+z

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 5EQ: In Exercises 1-12, determine whether T is a linear transformation. 5. T:Mnn→ ℝ defined by...
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Exercise 6.2.5 Consider the following linear transformations T: R³ → R². For each, determine the
matrix A such that T(x) = Ax.
(a) T
X
Z
=
x+2y+3z
2y-3x+z
Transcribed Image Text:Exercise 6.2.5 Consider the following linear transformations T: R³ → R². For each, determine the matrix A such that T(x) = Ax. (a) T X Z = x+2y+3z 2y-3x+z
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