Let A = [1 01 0 4 3 0 30 12 0 01 0 0 0-2 8 -2 0 [1 0 01 00 echelon form of A is Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: . Find a basis for the row space of A, 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 reduced row 10 04 <-400 010 00 0 00 -)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 22EQ
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Linear algebra
Let A =
[101 0 4
3
0 0
0-2
0 3 0 12
01 0
8 -2 0
[1 0 10 0 4
01 <-400
00 010
00 0 00
echelon form of A is
Row Space basis:
Column Space basis:
Null Space basis:
Rank:
Nullity:
Find a basis for the row space of A, 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 reduced row
-)
Transcribed Image Text:Let A = [101 0 4 3 0 0 0-2 0 3 0 12 01 0 8 -2 0 [1 0 10 0 4 01 <-400 00 010 00 0 00 echelon form of A is Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: Find a basis for the row space of A, 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 reduced row -)
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