The eigen values of the matrix M given below are 15-3 and 0-M- 8 -6 2- -6 7 -4- 2 -4 3 -The value of the determinant of the matrix is

|M|= Product of eigen values =15× 3× 0=0 ...

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The eigen val...

Question

The eigen values of the matrix $M$ given below are $15, 3$ and $0. M = ⎡ ⎢ ⎣ \begin{matrix} 8 & - 6 & 2 - 6 & 7 & - 4 2 & - 4 & 3 \end{matrix} ⎤ ⎥ ⎦$
The value of the determinant of the matrix is

20

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10

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0

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- 10

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A = ⎡ ⎢ ⎣ \begin{matrix} 8 & - 6 & 2 - 6 & 7 & - 4 2 & - 4 & λ \end{matrix} ⎤ ⎥ ⎦

λ =

A = ⎡ ⎢ ⎣ \begin{matrix} 8 & - 6 & 2 - 6 & 7 & - 4 2 & - 4 & λ \end{matrix} ⎤ ⎥ ⎦

λ

2 \times 2

I_{1} = 8

v_{1} = [\begin{matrix} 11 \end{matrix}]

I_{2} = 8

v_{2} = [\begin{matrix} 1 - 1 \end{matrix}]

2 \times 2

M^{- 1}

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