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4. Determine whether the column vectors in each of the following matrices form a basis for R³. If they do not, explain why. (a) (b) (c) B = 3 -1 2 A = C = 3 1 0 2 1 0 -2 0 2 5 -3 1 0 -1 2 3 1 0 0 2 -3 1 [1] 1 0 0 -0.74 01 0 0.22 001 2.13 [100 0 1 0 00 1

4. Determine whether the column vectors in each of the following matrices form a basis for R³. If they do not, explain why. (a) (b) (c) B = 3 -1 2 A = C = 3 1 0 2 1 0 -2 0 2 5 -3 1 0 -1 2 3 1 0 0 2 -3 1 [1] 1 0 0 -0.74 01 0 0.22 001 2.13 [100 0 1 0 00 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Determine whether the column vectors in each of the following matrices form a basis for R³. If they do not, explain why. (a) (b) (c) B = 3 -1 2 A = 3 -1 2 10 0 2 5 -3 1 0 0 3 1 --- C = 1 0 2 0 61 1 0 0 01 0 0 0 1 [ 0 0 -0.74 0.22 2.13
Transcribed Image Text:4. Determine whether the column vectors in each of the following matrices form a basis for R³. If they do not, explain why. (a) (b) (c) B = 3 -1 2 A = 3 -1 2 10 0 2 5 -3 1 0 0 3 1 --- C = 1 0 2 0 61 1 0 0 01 0 0 0 1 [ 0 0 -0.74 0.22 2.13
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