2) Let T a d 11 la + 2b + (-6) c + 2d + (-18) e 2a + 5b+ (-14) c + 6d+(-46) e Then a basis for (Ker(T))+ would be: la + 3b + (-8) c + 3d + (-25) e 6a+ 15b + (-42) c + 17d + (-135) e]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 33CR: Determine whether S={1t,2t+3t2,t22t3,2+t3} is a basis for P3.
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2) Let T
d
b
C
d
=
la + 2b + (-6) c + 2d + (-18) e
2a + 5b+ (-14) c + 6d + (-46) e
Then a basis for (Ker(T))+ would be:
la + 3b + (-8) c + 3d + (-25) e
6a+15b+ (-42) c + 17d+ (-135) e]
9359e].
Transcribed Image Text:2) Let T d b C d = la + 2b + (-6) c + 2d + (-18) e 2a + 5b+ (-14) c + 6d + (-46) e Then a basis for (Ker(T))+ would be: la + 3b + (-8) c + 3d + (-25) e 6a+15b+ (-42) c + 17d+ (-135) e] 9359e].
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