1.

Find the invertible matrix P, by using diagonalization method for the following matrix.A = \(\begin{bmatrix}2 & 0 & 0 \\1 & 2 & 1\\-1 & 0 & 1\end{bmatrix} \)

A. A = \(\begin{bmatrix}-1 & -1 & 0 \\1 & 0 & -1\\-1 & 1 & 1\end{bmatrix} \)
B. A = \(\begin{bmatrix}0 & -1 & 0 \\1 & 0 & -1 \\0 & 1 & 1\end{bmatrix} \)
C. A = \(\begin{bmatrix}0 & 0 & 0\\1 & 1 & -1\\-1 & 0 & 1\end{bmatrix} \)
D. A = \(\begin{bmatrix}1 & 0 & 0\\1 & 0 & -1\\-1 & 0 & 1\end{bmatrix} \)
Answer» C. A = \(\begin{bmatrix}0 & 0 & 0\\1 & 1 & -1\\-1 & 0 & 1\end{bmatrix} \)


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