Find the dimension of and a basis for the following subspaces of C3: (a) The set of

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Find the dimension of and a basis for the following subspaces of C3:
(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
Find the dimension of and a basis for the following

(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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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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