(a) Compute AAT and its eigenvalues 2 1 , 0 and unit eigenvectors u1, u2. (b) Choose

Chapter 6, Problem 6.3.2

(choose chapter or problem)

(a) Compute AAT and its eigenvalues 2 1 , 0 and unit eigenvectors u1, u2. (b) Choose signs so that Av1 = 1u1 and verify the SVD: " 1 4 2 8# = h u1 u2 i " 1 0 # h v1 v2 iT . (c) Which four vectors give orthonormal bases for C(A), N(A), C(A T ), N(A T )?

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