Question: SVD and the fundamental subspaces Consider a matrix A Rmn with rank(A) = r. The compact SVD of A is given by A = UrrV

SVD and the fundamental subspaces Consider a matrix A Rmn with rank(A) = r. The compact SVD of A is given by A = UrrV r where Ur = h u1 ur i R mr , r = 1 . . . r R rr , Vr = h v1 vr i R nr with 1 r > 0 being the singular values of A. (a) Which one of the following sets is always guaranteed to form an orthonormal basis for Col(A)? (Please fill in one of the circles for the options below. You will only be graded on your final answer.) i. {u1, ,ur} ii. {1u1, . . . , rur} iii. {v1, . . . ,vr} iv. {1v1, . . . , rvr} Option

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