solved find eigen values of the matrix A=[3 0 0;0 02;0 2 0]

Question : Find eigen values of the matrix A=[3 0 0;0 02;0 2 0] Solution : Given 3 by 3 matrix \[A=\left(\begin{matrix}3&0&0\\0&0&2\\0&2&0\\\end{matrix}\right)\] It’s Eigen values are given by equation \[\left|\begin{matrix}3-\lambda&0&0\\0&-\lambda&2\\0&2&-\lambda\\\end{matrix}\right|=0\] \[\left(3-\lambda\right)\left(-4+\lambda^2\right)=0\] Solving this we get \[\lambda=\ 3,-2,2\] Are required eigen…

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