5. Let 1 3 1 -1 0 A = -2 -6 3 1 1 1 1 (a) Determine a basis for the nullspace Nul(A). From the information in part (a), determine the dimensions of the four (b) subspaces Nul(A), Col(A), Col(A") and Nul(A"). (c) Find a basis for the column space, Col(A).

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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5. Let
1
3
1
-1 0
A = |-2
-6 -1
3
1
1
1
1
(a)
Determine a basis for the nullspace Nul(A).
(b)
subspaces Nul(A), Col(A), Col(A") and Nul(A™).
From the information in part (a), determine the dimensions of the four
(c)
Find a basis for the column space, Col(A).
Transcribed Image Text:5. Let 1 3 1 -1 0 A = |-2 -6 -1 3 1 1 1 1 (a) Determine a basis for the nullspace Nul(A). (b) subspaces Nul(A), Col(A), Col(A") and Nul(A™). From the information in part (a), determine the dimensions of the four (c) Find a basis for the column space, Col(A).
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