Question: 1. Gram-Schmidt procedure for eigenvector Consider the following matrix, A A = i. Find the eigenvalues and eigenvectors for A. ii. Starting with the eigenvectors

1. Gram-Schmidt procedure for eigenvector Consider the following matrix, A A = i. Find the eigenvalues and eigenvectors for A. ii. Starting with the eigenvectors you found in (i), construct a set of orthonormal vectors using the Gram-Schmidt procedure to obtain an orthogonal matrix. Ensure to comment or provide justification for any choices you make in following the procedure. 5 marks

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