State and prove the Cayley Hamilton Theorem. Prove that an n x n matrix is diagonalizable...

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State and prove the Cayley Hamilton Theorem. Prove that an n x n matrix is diagonalizable if and only if it admits n linearly independent eigenvectors. For the matrix A given by Find the matrix P such that P-¹AP is diagonal. /1 0 1 1 0 0 101 State and prove the Cayley Hamilton Theorem. Prove that an n x n matrix is diagonalizable if and only if it admits n linearly independent eigenvectors. For the matrix A given by Find the matrix P such that P-¹AP is diagonal. /1 0 1 1 0 0 101