Given the linear map (a) Give the standard matrix of T. (b) Determine if T is one-to-one. (c) Is the vector T: R² → R³, 9 x - 2y -x+3y 3x-2y in the image of T? If so, find H [] such that T( 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 7E
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Need help with this matrix algebra qusetion.

Given the linear map
T: R² → R³,
(c) Is the vector
x - 2y
-x + 3y
3x - 2y
(a) Give the standard matrix of T.
(b) Determine if T is one-to-one.
[]
4 in the image of T? If so, find
9
H
[]
such that T(
=
Transcribed Image Text:Given the linear map T: R² → R³, (c) Is the vector x - 2y -x + 3y 3x - 2y (a) Give the standard matrix of T. (b) Determine if T is one-to-one. [] 4 in the image of T? If so, find 9 H [] such that T( =
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