State and prove the Cayley Hamilton Theorem. (You may as- sume that the eigenvalues are all...

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State and prove the Cayley Hamilton Theorem. (You may as- sume that the eigenvalues are all distinct). (b) Given A = [ 0 1 -2 3 i. Calculate et using the Cayley Hamilton Theorem ii. Calculate et using Wet W-1 where W is the matrix of eigenvectors of A. State and prove the Cayley Hamilton Theorem. (You may as- sume that the eigenvalues are all distinct). (b) Given A = [ 0 1 -2 3 i. Calculate et using the Cayley Hamilton Theorem ii. Calculate et using Wet W-1 where W is the matrix of eigenvectors of A.

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