Assume that A is row equivalent to B. Find bases for Nul A and Col A. - 2 8 -2 - 8 10 8 11 A = 2 - 12 - 5 1 , B= 0 4 7 7 | - 3 16 4 - 5 0 0 0 A basis for Col A is (Use a comma to separate vectors as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assume that A is row equivalent to B. Find bases for Nul A and Col A.

\[
A = \begin{bmatrix}
-2 & 8 & -2 & -8 \\
2 & -12 & -5 & 1 \\
-3 & 16 & 4 & -5
\end{bmatrix}
, \quad B = \begin{bmatrix}
1 & 0 & 8 & 11 \\
0 & 4 & 7 & 7 \\
0 & 0 & 0 & 0
\end{bmatrix}
\]

A basis for Col A is \{\}.

(Use a comma to separate vectors as needed.)
Transcribed Image Text:Assume that A is row equivalent to B. Find bases for Nul A and Col A. \[ A = \begin{bmatrix} -2 & 8 & -2 & -8 \\ 2 & -12 & -5 & 1 \\ -3 & 16 & 4 & -5 \end{bmatrix} , \quad B = \begin{bmatrix} 1 & 0 & 8 & 11 \\ 0 & 4 & 7 & 7 \\ 0 & 0 & 0 & 0 \end{bmatrix} \] A basis for Col A is \{\}. (Use a comma to separate vectors as needed.)
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