Find the dimension of and a basis for the following subspaces of C3: (a) The set of
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(a) The set of all complex multiples of (1. i. 1 - i)T.
(b) The plane zi + iz2 + (1 - i )Z3 = 0-
(c) The range of the matrix
(d) The kernel of the same matrix.
(e) The set of vectors that are orthogonal to (1 - i,2i, 1 + i)T.
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