9. Assume that matrix A is row equivalent to matrix B, and -1 B = 0 -2 1 -4 A 2 -4 1 -6 5 -6 10 7 (a) State dim Col A and dim Nul A. (b) Give a basis for Col A, Row A, and Nul A. 0. If A is a 5 × 4 matrix, what is the largest possible dimension of Row A? If A is a 4 × 5 matrix, what is the largest possible dimension of Row A? Explain.

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Chapter2: Second-order Linear Odes
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9. Assume that matrix A is row equivalent to matrix B, and
[1
-1
0 -2
1
-4
9
-
A =
1
-4
1
B
-6
-6
10
7
(a) State dim Col A and dim Nul A.
(b) Give a basis for Col A, Row A, and Nul A.
10. If A is a 5 × 4 matrix, what is the largest possible dimension of Row A? If A is a
4 × 5 matrix, what is the largest possible dimension of Row A? Explain.
Transcribed Image Text:9. Assume that matrix A is row equivalent to matrix B, and [1 -1 0 -2 1 -4 9 - A = 1 -4 1 B -6 -6 10 7 (a) State dim Col A and dim Nul A. (b) Give a basis for Col A, Row A, and Nul A. 10. If A is a 5 × 4 matrix, what is the largest possible dimension of Row A? If A is a 4 × 5 matrix, what is the largest possible dimension of Row A? Explain.
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