contestada

Consider the given matrix. 3 0 0 0 2 0 4 0 1 find the eigenvalues. (enter your answers as a comma-separated list.)

Respuesta :

LammettHash
[tex]\begin{vmatrix}3-\lambda&0&0\\0&2-\lambda&0\\4&0&1-\lambda\end{vmatrix}=(3-\lambda)\begin{vmatrix}2-\lambda&0\\0&1-\lambda\end{vmatrix}=0[/tex]
[tex]=(3-\lambda)(2-\lambda)(1-\lambda)[/tex]
[tex]\implies\lambda_1=1,\lambda_2=2,\lambda=3[/tex]

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