Use the fact that matrices A and B are row-equivalent. 2 1 2 5 1 1 A = 3 7 2 2 -2 11 25 8 -1 1 0 о 1 -1 0 0 1 -2 3 0 -4 B = (a) Find the rank and nullity of A. гank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. N 00 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the fact that matrices A and B are row-equivalent.
2 1
2
5 1
1
A =
3
7 2
2 -2
11 25 8 -1
1 0
3 0 -4
о 1 -1 0
0 1 -2
2
B =
(a) Find the rank and nullity of A.
гank
nullity
(b) Find a basis for the nullspace of A.
(c) Find a basis for the row space of A.
信
Transcribed Image Text:Use the fact that matrices A and B are row-equivalent. 2 1 2 5 1 1 A = 3 7 2 2 -2 11 25 8 -1 1 0 3 0 -4 о 1 -1 0 0 1 -2 2 B = (a) Find the rank and nullity of A. гank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. 信
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