4 0 0 1 0 2 space of A, a basis for the column space of A, a basis for the n space of A, the rank of A, and the nullity of A. (Note that t 10 2 -5 0 01 -5 -1 0 00 00 1 8 -5 -2 10 Let A = -20 -1 - 0 -2 1 reduced row echelon form of A is Find a basis for the r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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Question
1
4
0
Let A =
0
0
1
2 -5
28
8 -20
-5 -1
0-2
10 2
space of Ā, a basis for the column space of A, a basis for the null
space of A, the rank of A, and the nullity of A. (Note that the
0 2 -5 0
1
0 1 -5 -1
0
0 0
0
0
00
0
Row Space basis:
Column Space basis:
Null Space basis:
Rank:
Nullity:
reduced row echelon form of A is
0
0
-2
1
Find a basis for the row
0
1
0
Transcribed Image Text:1 4 0 Let A = 0 0 1 2 -5 28 8 -20 -5 -1 0-2 10 2 space of Ā, a basis for the column space of A, a basis for the null space of A, the rank of A, and the nullity of A. (Note that the 0 2 -5 0 1 0 1 -5 -1 0 0 0 0 0 00 0 Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: reduced row echelon form of A is 0 0 -2 1 Find a basis for the row 0 1 0
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