Question

I need help with parts c and d of this question. Some concept clarification would be great.

3. Consider the following matrix A= 3 6 (a) Compute AAT and its eigenvalues and unit eigenvectors. (b) Find the SVD by computing the matrices U, V, Σ (c) From the u's and v's in (b), write down orthonormal bases for all four fundamental subspaces (i.e., row space, column space, null space, left null space) of the matrix A. (d) Compute the pseudoinverse A+-VPtUT where the diagonal matrix Σ contains 1/σι.

Answer 1

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