Find a basis for the null space of each matrix and give the nullity of the set. [ A = B = C = -2 -5 1 9 6 4 0 1 -3 2 1 0 4 5 1 The nullity of A is 1 I 01 02 0 [00012] The nullity of B is The nullity of C is 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Find a basis for the null space of each matrix and give the nullity of the set.
[
A =
B =
C =
L
-2 -5
1
9
640
1 -3 2
1
0-4 5 1
0 1 020
1
0 0 0 1 2
The nullity of A is
The nullity of B is
The nullity of C is
1
1
Transcribed Image Text:Find a basis for the null space of each matrix and give the nullity of the set. [ A = B = C = L -2 -5 1 9 640 1 -3 2 1 0-4 5 1 0 1 020 1 0 0 0 1 2 The nullity of A is The nullity of B is The nullity of C is 1 1
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