3.- COLUMN SPACE & NULLSPACE. let be the Matrix 0 -4 0 A = | -2 1 13 0 1 5 1 1 E M³×4 -1 and let the REF (Reduced Echelon form of A be 1 0 0 -4 0 0 1 5 1 Find: A base for C(A), the column space of A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The CU values
CU1=1
CU2=3
CU3=3
CU4=3
CU5=6
CU6=3

3.- COLUMN SPACE & NULLSPACE.
let be the Matrix
1
0 -4
A =
-2 1
13
E M³×4
1
0 1 5
-1
and let the REF (Reduced Echelon form of A be
1 0 -4 0
0 1
0 0
5
1
Find:
A base for C(A), the column space of A
A base for N(A), the Null space for A.
Verify the dimension theorem, that is, where
dim (C(A)) + dim (N (A)) = 4
Transcribed Image Text:3.- COLUMN SPACE & NULLSPACE. let be the Matrix 1 0 -4 A = -2 1 13 E M³×4 1 0 1 5 -1 and let the REF (Reduced Echelon form of A be 1 0 -4 0 0 1 0 0 5 1 Find: A base for C(A), the column space of A A base for N(A), the Null space for A. Verify the dimension theorem, that is, where dim (C(A)) + dim (N (A)) = 4
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