The determinant of the matrix 6 -8 -1 A = -9 -7 5 -1 is , and its inverse is b1 b12 b13 A- b21 b22 b23 b31 b32 b33 where bul= b12| = b13| = b2|| = b2| = b23| = b31|= b32| = b33| =
The determinant of the matrix 6 -8 -1 A = -9 -7 5 -1 is , and its inverse is b1 b12 b13 A- b21 b22 b23 b31 b32 b33 where bul= b12| = b13| = b2|| = b2| = b23| = b31|= b32| = b33| =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The determinant of the matrix
\[ A = \begin{bmatrix} 6 & -8 & -1 \\ -9 & 9 & -7 \\ -1 & 5 & -1 \end{bmatrix} \]
is [ ], and its inverse is
\[ A^{-1} = \begin{bmatrix} b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23} \\ b_{31} & b_{32} & b_{33} \end{bmatrix}, \]
where
\( b_{11} = [ \, ], \)
\( b_{12} = [ \, ], \)
\( b_{13} = [ \, ], \)
\( b_{21} = [ \, ], \)
\( b_{22} = [ \, ], \)
\( b_{23} = [ \, ], \)
\( b_{31} = [ \, ], \)
\( b_{32} = [ \, ], \)
\( b_{33} = [ \, ]. \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9107650-c916-4694-865d-5231de163068%2Fba2ccbd7-af04-442b-bde0-956ce3b161bc%2Feaem8md_processed.png&w=3840&q=75)
Transcribed Image Text:The determinant of the matrix
\[ A = \begin{bmatrix} 6 & -8 & -1 \\ -9 & 9 & -7 \\ -1 & 5 & -1 \end{bmatrix} \]
is [ ], and its inverse is
\[ A^{-1} = \begin{bmatrix} b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23} \\ b_{31} & b_{32} & b_{33} \end{bmatrix}, \]
where
\( b_{11} = [ \, ], \)
\( b_{12} = [ \, ], \)
\( b_{13} = [ \, ], \)
\( b_{21} = [ \, ], \)
\( b_{22} = [ \, ], \)
\( b_{23} = [ \, ], \)
\( b_{31} = [ \, ], \)
\( b_{32} = [ \, ], \)
\( b_{33} = [ \, ]. \)
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