1 2 -1 4 15. Find a basis for the null space of A. A=| 0 1 -2 3 (a) {(1,0, –1), (2, 1,0)} (с) (1, 2, —1,4), (0, 1, — 2, 3)} (e) {(2, –3,0, 1), (-3,2, 1, 0)} -1 0 -3 2 | (b) {(0, 2, –3, 1), (1, 2, –3,0)} (d) {(-1,2,0, 3), (2, 1, 0, –3)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 11CM
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1
2 -1
4
15. Find a basis for the null space of A. A =
1
-2 3
-1 0
(b) {(0, 2, –3, 1), (1, 2, –3, 0)}
(d) {(-1,2,0, 3), (2, 1,0, –3)}
-3 2
(a) {(1,0, –1), (2, 1,0)}
(c) {(1,2, – 1, 4), (0, 1, –2, 3)}
(e) {(2, –3,0, 1), (-3,2, 1, 0)}
Transcribed Image Text:1 2 -1 4 15. Find a basis for the null space of A. A = 1 -2 3 -1 0 (b) {(0, 2, –3, 1), (1, 2, –3, 0)} (d) {(-1,2,0, 3), (2, 1,0, –3)} -3 2 (a) {(1,0, –1), (2, 1,0)} (c) {(1,2, – 1, 4), (0, 1, –2, 3)} (e) {(2, –3,0, 1), (-3,2, 1, 0)}
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