Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. 1 1 A = 1 rank A = 1 1 dim Nul A = 1-2 0-1 - 3 2-3 0-5 -4 10 6-10 1 1 8 -5 0-7 -2 - 1 4 2 15 1 1 -2 0-1 - 3 0 1 1 0 -4 -1 B = 0 0 1 1 1 3 00 1 2 00 0 1 00 00 A basis for Col A is. (Use a comma to separate vectors as needed.) A basis for Row A is. (Use a comma to separate vectors as needed.) A basis for Nul A is. (Use a comma to separate vectors as needed.) O

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A.
A =
rank A =
1
1
1
1
1
dim Nul A =
1 -2 0 - 1
2-3 0-5
6
8
45 07
-2
10
-1 1 1
- 3
-4
10
2
15
B =
1 1
01
0 0
0 0
0 0
A basis for Col A is.
(Use a comma to separate vectors as needed.)
A basis for Row A is.
(Use a comma to separate vectors as needed.)
A basis for Nul A is.
(Use a comma to separate vectors as needed.)
- 20
- 1
- 4
1
00
1
00 0
0
- 1
1 1
- 3
- 1
3
2
1
Transcribed Image Text:Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A. Then find bases for Col A, Row A, and Nul A. A = rank A = 1 1 1 1 1 dim Nul A = 1 -2 0 - 1 2-3 0-5 6 8 45 07 -2 10 -1 1 1 - 3 -4 10 2 15 B = 1 1 01 0 0 0 0 0 0 A basis for Col A is. (Use a comma to separate vectors as needed.) A basis for Row A is. (Use a comma to separate vectors as needed.) A basis for Nul A is. (Use a comma to separate vectors as needed.) - 20 - 1 - 4 1 00 1 00 0 0 - 1 1 1 - 3 - 1 3 2 1
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