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Algebra
Question

#7: Consider the following matrix \( A \) (whose \...

#7: Consider the following matrix \( A \) (whose \( 2 \) nd and \( 3 \) rd rows are not given), and vector \( x \) . 

\( A = \left[ \begin{array} { c c c } { 1 } & { - 4 } & { - 9 } \\ { * } & { * } & { * } \\ { * } & { * } & { * } \end{array} \right] , x = \left[ \begin{array} { c } { 2 } \\ { 8 } \\ { 10 } \end{array} \right] \) 

Given that \( x \) is an eigenvector of the matrix \( A \) , what is the corresponding eigenvalue? 

Answer

\(Ax= \lambda x\Rightarrow 2- 32- 90= 2\lambda\Rightarrow \lambda = -60\)

Solution
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