Question: Let T: C2 + C2 defined by T(21, 22) = ((i 1)22, (1 + i)z1 + z2). (a) Find r, the rank of T. (b)

Let T: C2 + C2 defined by T(21, 22) = ((i

Let T: C2 + C2 defined by T(21, 22) = ((i 1)22, (1 + i)z1 + z2). (a) Find r, the rank of T. (b) Find the orthonormal basis B = {v1, v2}, y = {41, 42} for the corresponding inner prod- uct spaces and the singular values 01 > ... > Or of T such that T(vi) = 0;U; for 1

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