1 2 -5 11 -3 2 4 -5 15 2 Given that the matrix A = is row equivalent t 1 2 0 4 3 6 -5 19 -2 12 -5 11 -31 | 0 0 5 -7 8 B = 0 0 0 0 -9 0 0 0 0 0 (а) Find bases for the subspaces Col A, Row A and Nul A.Justify your answer. (b) Find dim(Col A), dim(Row A) and dim(Nul A). Justify your answer (c) Find rank(A)+ dim(Nul A).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1 2 -5 11 -3
2 4 -5 15 2
Given that the matrix A =
is row equivalent t
1 2 0
4
3 6 -5 19 -2
12 -5 11 -31
|
0 0 5 -7 8
B =
0 0 0
0 -9
0 0 0
0 0
(а)
Find bases for the subspaces Col A, Row A and
Nul A.Justify your answer.
(b)
Find dim(Col A), dim(Row A) and dim(Nul A).
Justify your answer
(c)
Find rank(A)+ dim(Nul A).
Transcribed Image Text:1 2 -5 11 -3 2 4 -5 15 2 Given that the matrix A = is row equivalent t 1 2 0 4 3 6 -5 19 -2 12 -5 11 -31 | 0 0 5 -7 8 B = 0 0 0 0 -9 0 0 0 0 0 (а) Find bases for the subspaces Col A, Row A and Nul A.Justify your answer. (b) Find dim(Col A), dim(Row A) and dim(Nul A). Justify your answer (c) Find rank(A)+ dim(Nul A).
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