The determinant of the matrix 9. 1 5 -3 A = 3 -9 -6 -6 -8 -1 is

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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The determinant of the matrix

\[
A = \begin{bmatrix} 
9 & 1 & 0 & 5 \\ 
-3 & 3 & 0 & 0 \\ 
0 & -9 & 0 & 0 \\ 
-6 & -6 & -8 & -1 
\end{bmatrix}
\]

is [____].

**Hint:** Find a good row or column and expand by minors.
Transcribed Image Text:The determinant of the matrix \[ A = \begin{bmatrix} 9 & 1 & 0 & 5 \\ -3 & 3 & 0 & 0 \\ 0 & -9 & 0 & 0 \\ -6 & -6 & -8 & -1 \end{bmatrix} \] is [____]. **Hint:** Find a good row or column and expand by minors.
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