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Unformatted text preview: Solved Example S 16.1 The complexvalued matrix V = £ v (1) v (2) v (3) / = 3 a + jb 6 j 6 j 3 a + jb a + jb 6 j 3 (where a and b are realvalued) has pairwise orthogonal columns. (i) Determine a and b . What are the column norms? (ii) Express the complexvalued vector s = £52 j10 + 8 j 114 j / T as a linear combination of v (1) , v (2) and v (3) . (iii) If x = 1 2 v (1)1 2 v (2) + 3 v (3) y = 2 v (1) + 3 2 v (2)v (3) explain why the projection λ x of y onto x is such that λ is real. Determine λ without performing complex operations....
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This note was uploaded on 10/18/2011 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.
 Spring '08
 staff

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