2 2 4 108 102 0 2 1.5 2 . Let A= 2 1 4 2 2 5 01 010 -1 -2 4 3 8 3 2 13 0 0 0 0 0 Where the second matrix is the reduced form of the matrix. (a) Find the basis for the column space of A (b) Find the basis for the row space of A (c) Find the basis for the null space of A (d) Find the rank of A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 11E
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2
2
4 108
. Let A= 2
1
4
2 2
5
0 1 0 -1 -2 3
4
3
8 3 2 13
1 0 2 1.5 2 1
01
000000
Where the second matrix is the reduced form of the matrix.
(a) Find the basis for the column space of A
(b) Find the basis for the row space of A
(c) Find the basis for the null space of A
(d) Find the rank of A
Transcribed Image Text:2 2 4 108 . Let A= 2 1 4 2 2 5 0 1 0 -1 -2 3 4 3 8 3 2 13 1 0 2 1.5 2 1 01 000000 Where the second matrix is the reduced form of the matrix. (a) Find the basis for the column space of A (b) Find the basis for the row space of A (c) Find the basis for the null space of A (d) Find the rank of A
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