Consider the chess matrix A (a) Find a basis for im(A). (b) Find a basis for row(A). (c) Find a basis for null(A). - 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 16EQ
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Consider the chess matrix A
(a) Find a basis for im(A).
(b) Find a basis for row(A).
(c) Find a basis for null(A).
=
1
0
1
0 1 0 1
0
0
1
0
1 0
1 0
1
1
0
1 0
1 0 1 0
0 1
0 1 0
1 0 1
1
0 1 0 1 0 1 0
0 1 0
1 0
1 0 1
0
1 0 1 0 1 0
1 0 1 0 1 0 1
1
0
Transcribed Image Text:Consider the chess matrix A (a) Find a basis for im(A). (b) Find a basis for row(A). (c) Find a basis for null(A). = 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0
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