4. Let 1/2 A = have singular value decomposition 1/2 12-12-1 1 -1/2 1/11/2 1 -12 -1 0 0 (a) Use the singular value decomposition to show an orthonormal bases of C(AT) and N(A). (b) Use the singular value decomposition to show an orthonormal bases of C(A), and N(AT). (c) Use the singular value decomposition to determine the rank of A. 1/2. 2 5 6 3 0 3 0 6 25 12 0 0 6 0 0 0 0 0 33

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