QUESTION 7 The matrix A - is row equiv and 12 -2 03 1 C = is row equivalent to the 2 -1 1 3 4 -3 1 2 Use the above to answer the following questi 2 7.1 Find a basis for the nullspace of A. 7.2 Find a basis for the column space of A. 7.3 Find the rank and nullity of A. 2220 02 2 1 0 -1 23 1 1 -2 1 3 2 4 43 -3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 7
The matrix A
is row equiv
and
0 1 2 -2
2
0 3
1
C
is row equivalent to the
2 -1
-1
1
3
4
-3 1 2
Use the above to answer the following questi 2
7.1 Find a basis for the nullspace of A.
7.2 Find a basis for the column space of A.
7.3 Find the rank and nullity of A.
0 2
4
10
-1
-3
2 3
1 1
-2 1 3 2
2
Transcribed Image Text:QUESTION 7 The matrix A is row equiv and 0 1 2 -2 2 0 3 1 C is row equivalent to the 2 -1 -1 1 3 4 -3 1 2 Use the above to answer the following questi 2 7.1 Find a basis for the nullspace of A. 7.2 Find a basis for the column space of A. 7.3 Find the rank and nullity of A. 0 2 4 10 -1 -3 2 3 1 1 -2 1 3 2 2
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