1 -3 -1 -5 3 3 Transform the matrix A = 1 3 to reduced row echelon form (RREF). 5 7 9 1 1 3 -1 Hence, determine (а) (b) a basis for row space of A. a basis for column space of A. a basis for the nullspace of A. (c)

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 48CR: Find an orthonormal basis for the solution space of the homogeneous system of linear equations....
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1 -3 -1 -5)
3
3
Transform the matrix A =
1
3
to reduced row echelon form (RREF).
5
7
9.
1
1
3
-1
Hence, determine
(a)
(b)
a basis for row space of A.
a basis for column space of A.
(c)
(d)
a basis for the nullspace of A.
the nullity of AT.
(e)
Express each vector that is not in the basis, as a linear combination of the basis vectors.
Transcribed Image Text:1 -3 -1 -5) 3 3 Transform the matrix A = 1 3 to reduced row echelon form (RREF). 5 7 9. 1 1 3 -1 Hence, determine (a) (b) a basis for row space of A. a basis for column space of A. (c) (d) a basis for the nullspace of A. the nullity of AT. (e) Express each vector that is not in the basis, as a linear combination of the basis vectors.
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