Find ker(T), range(T), dim(ker(T)), and dim(range(T)) of the following linear transformation: -1 -1 T: R* → R³ defined by T(x) = Ax, where A = |2 [3 -2 -3. 3 -1 7 -5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 48E
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Find ker(T), range(T), dim(ker(T)), and dim(range(T)) of the following linear
transformation:
-1
-1
T: R* → R3 defined by T(x) = Ax, where A = |2
[3
3
-1
-2
7
-5
-3.
Transcribed Image Text:Find ker(T), range(T), dim(ker(T)), and dim(range(T)) of the following linear transformation: -1 -1 T: R* → R3 defined by T(x) = Ax, where A = |2 [3 3 -1 -2 7 -5 -3.
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