[1 0 0 5 0 0 Let A = 0 1 2 02 -3 0 3 -1 -2 -3 3 2 0 -2 -10 10 0 4 -1 1 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 -6 -2 2 Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: [1 00 -2 01 0 A, and the nullity of A. (Note that the reduced row echelon form of A is 0 0 1 0 00 0 0 0 NONOO 0 2 1000 07 -1 1 0.) 0 0
[1 0 0 5 0 0 Let A = 0 1 2 02 -3 0 3 -1 -2 -3 3 2 0 -2 -10 10 0 4 -1 1 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 -6 -2 2 Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: [1 00 -2 01 0 A, and the nullity of A. (Note that the reduced row echelon form of A is 0 0 1 0 00 0 0 0 NONOO 0 2 1000 07 -1 1 0.) 0 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:[100 -2 2 01
0
0
-10 10 0
1
2
0 2 -3
4 -1 1
-6 -2 2
-2
0
3 -1
-3 3
5
Let A = 0
[1 0 0 -2 2 07
0 1
0
0 -1 1
A, and the nullity of A. (Note that the reduced row echelon form of A is 0 0
1 2 0 0.)
00000
000000
0
Row Space basis:
Column Space basis:
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
Null Space basis:
Rank:
Nullity:
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