Find bases for the column space, the row space, and the null space of matrix A. Youshould verify that the Rank-Nullity Theorem holds.A =1 -2 22 -2 25 -14 14Basis for the column spaceof A ==Basis for the row space of ABasis for the null space of A =9.

Given matrix .We have to bind the basis of the row space column space, row space and null space of…

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. 1-22 2-22 A = 5-14 14 Basis for the column space of A = 2. Basis for the row space of A = Basis for the null space of A = 9. { 9.

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. 1-22 2-22 A = 5-14 14 Basis for the column space of A = 2. Basis for the row space of A = Basis for the null space of A = 9. { 9.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.2: Orthogonal Complements And Orthogonal Projections

Problem 7EQ

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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.
A =
1 -2 2
2 -2 2
5 -14 14
Basis for the column space
of A =
=
Basis for the row space of A
Basis for the null space of A =
9.

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Step 1: Introduction of the given problem

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Step 2: Finding the row space of the matrix

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Step 3: Finding the row space of the matrix

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Step 4: Finding the null space of the matrix

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Step 5: Verifying the rank nullity theorem

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