Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An equivalent echelon form of matrix A is given to make your work easier. 3 2 A = -5 3 -5 Basis for the column space of A is 19 3 1 0 2 3 4 -1 9 4 - [1 0 0 0 1 0 0 01 (0.00)) 000 [000] Basis for the row space of A is Note that since the only solution to Ax is the

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An equivalent echelon
form of matrix A is given to make your work easier.
3
2
-5
3
-5
Basis for the column space of A is
19
3
1
0
2
3
4 -1
9 4
A =
[1 0 0
0 1 0
0 0 1
000
-
[000]
Basis for the row space of A is
Note that since the only solution to Ax
O is the
Transcribed Image Text:Find bases for the column space, the row space, and the null space of matrix A. You should verify that the Rank-Nullity Theorem holds. An equivalent echelon form of matrix A is given to make your work easier. 3 2 -5 3 -5 Basis for the column space of A is 19 3 1 0 2 3 4 -1 9 4 A = [1 0 0 0 1 0 0 0 1 000 - [000] Basis for the row space of A is Note that since the only solution to Ax O is the
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