Consider the following matrix: 2 -10 4-2 6 A=-1 5 -2 1-3 1 -5 2 -1 4 Give a set of vectors that spans each of im(A) and null(A). Number of Vectors: 1 Spanning set for im(A). {]} Number of Vectors: 1 {} Spanning set for null(A)

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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Consider the following matrix:
2 -10 4 -2 6
−1 5 -2 1
1 -5 2 -1 4
Give a set of vectors that spans each of im(A) and null(A).
Number of Vectors: 1
A=
=
Spanning set for im(A)
-
[{[]}
Number of Vectors: 1
-3
Spanning set for null(A)
{}
Transcribed Image Text:Consider the following matrix: 2 -10 4 -2 6 −1 5 -2 1 1 -5 2 -1 4 Give a set of vectors that spans each of im(A) and null(A). Number of Vectors: 1 A= = Spanning set for im(A) - [{[]} Number of Vectors: 1 -3 Spanning set for null(A) {}
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