Find a basis for the column space and the rank of the matrix. -2 -4 -2 1 -3 14 7 -6 -6 4 2 -3 -2 4 2 -2 (a) a basis for the column space

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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Find a basis for the column space and the rank of the matrix.
-2 -4 -2
1
-3 14
7 -6
-6
4
2 -3
-2
4
2 -2
(a) a basis for the column space
Transcribed Image Text:Find a basis for the column space and the rank of the matrix. -2 -4 -2 1 -3 14 7 -6 -6 4 2 -3 -2 4 2 -2 (a) a basis for the column space
Find a basis for the subspace of R4 spanned by S.
S%3D {(5, 9, -5, 53), (-2, 5, 2, —5), (8, —2, —8, 17), (0, —2, о, 15)}
Transcribed Image Text:Find a basis for the subspace of R4 spanned by S. S%3D {(5, 9, -5, 53), (-2, 5, 2, —5), (8, —2, —8, 17), (0, —2, о, 15)}
Expert Solution
Recall:

The number of vectors in the bbasis for column space is the rank of the matrix.

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