Assume that the matrix A is row equivalent to the matrix B where A = 1 1 -3 7 9 -9 without calculation  Find the rank of Matrix A and the dimension of the nullspace of A find bases for the column space of A, row space of A, and nullspace of A

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assume that the matrix A is row equivalent to the matrix B where A = 1 1 -3 7 9 -9

without calculation

 Find the rank of Matrix A and the dimension of the nullspace of A

find bases for the column space of A, row space of A, and nullspace of A

-3
7
1 -3 7
9 -9
1
2 -4
10
13
-12
1.
-1
3.
-3
0 0
0 0
0 0
0 1
0 0
A =
-1
-1
1.
-3
and B
-1
-2
Without
1
-3
1
-5 -7
3
-2
0-5
-4
0 0 0
calculations,
Transcribed Image Text:-3 7 1 -3 7 9 -9 1 2 -4 10 13 -12 1. -1 3. -3 0 0 0 0 0 0 0 1 0 0 A = -1 -1 1. -3 and B -1 -2 Without 1 -3 1 -5 -7 3 -2 0-5 -4 0 0 0 calculations,
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