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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 39CR: For T:R5R3 and nullity(T)=2, find rank(T).
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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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