Let us consider the matrix A = ( 2 ) 3 [i] Find the eigenvalues and...

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Let us consider the matrix A = ( 2 ) 3 [i] Find the eigenvalues and their corresponding eigenvectors of AX = XX. [ii] What are the invertible matrix P and the diagonal matrix D such that A = PDP-? [iii] Find the inverse P-1. [iii] Use your results from parts [ii] and [iii] to calculate A. Let us consider the matrix A = ( 2 ) 3 [i] Find the eigenvalues and their corresponding eigenvectors of AX = XX. [ii] What are the invertible matrix P and the diagonal matrix D such that A = PDP-? [iii] Find the inverse P-1. [iii] Use your results from parts [ii] and [iii] to calculate A.