Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An equivalent echelon form of matrix A is given to make your work easier. 1 0 2 0 1 3 0 0 0 1 2 8 A = 3 3 15 ~ 3 8 30 Basis for the column space of A = { Basis for the row space of A = { Basis for the null space of A={| | || }

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An
equivalent echelon form of matrix A is given to make your work easier.
1 0 2
0
3
0
=
1 2 8
3 3 15
3 8 30
Basis for the column space of A = {|
Basis for the row space of A={|
Basis for the null space of A = {
Transcribed Image Text:Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An equivalent echelon form of matrix A is given to make your work easier. 1 0 2 0 3 0 = 1 2 8 3 3 15 3 8 30 Basis for the column space of A = {| Basis for the row space of A={| Basis for the null space of A = {
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