(d) Find a basis for the column space of A. CHIE

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(d) Find a basis for the column space of A.
100
0000
Transcribed Image Text:(d) Find a basis for the column space of A. 100 0000
Use the fact that matrices
A and B are row-equivalent.
2 1
0 0
2 5 1
1
0
A =
3 72
2-2
10 23 7-1 8
10 30-4
0 1 -1 0
2
B =
00
01-2
00 00 0
(a) Find the rank and nullity of A.
rank
nullity
(b) Find a basis for the nullspace of A.
(c) Find a basis for the row space of A.
E GEE
17
000
000
Transcribed Image Text:Use the fact that matrices A and B are row-equivalent. 2 1 0 0 2 5 1 1 0 A = 3 72 2-2 10 23 7-1 8 10 30-4 0 1 -1 0 2 B = 00 01-2 00 00 0 (a) Find the rank and nullity of A. rank nullity (b) Find a basis for the nullspace of A. (c) Find a basis for the row space of A. E GEE 17 000 000
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