Question: 3. Consider the matrix N H A = 1 2 NH with eigenvalues 4 and 1. (a) For each eigenvalue, find a basis for the

3. Consider the matrix N H A = 1 2 NH with eigenvalues 4 and 1. (a) For each eigenvalue, find a basis for the corresponding eigenspace. For each eigenspace, determine if the basis you found is orthogonal. (b) Use the bases for the eigenspaces from part (a) and the Gram-Schmidt process to orthogonally diagonalize A, i.e. find an orthogonal matrix P such that PT AP is diagonal

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