If the 3215 MOT C a -1 0 25 is 7, then what is the determinant of the 3x3 matrix 3 2 1 2 5 2 b determinant of the 3x3 matrix a b -1 0

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 6**

If the determinant of the 3x3 matrix

\[
\begin{bmatrix}
3 & a & -1 \\
2 & b & 0 \\
1 & 2 & 5 
\end{bmatrix}
\]

is 7, then what is the determinant of the 3x3 matrix

\[
\begin{bmatrix}
3 & 2 & 1 \\
a & b & 2 \\
-1 & 0 & 5 
\end{bmatrix}
\]

?
Transcribed Image Text:**QUESTION 6** If the determinant of the 3x3 matrix \[ \begin{bmatrix} 3 & a & -1 \\ 2 & b & 0 \\ 1 & 2 & 5 \end{bmatrix} \] is 7, then what is the determinant of the 3x3 matrix \[ \begin{bmatrix} 3 & 2 & 1 \\ a & b & 2 \\ -1 & 0 & 5 \end{bmatrix} \] ?
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