Unformatted text preview: C n . Prove that there exists vectors ~x,~ y ∈ R n such that ~ z = ~x + i~ y . 5. Let { ~v 1 ,~v 2 ,~v 3 } be a basis for R 3 . Prove that { ~v 1 ,~v 2 ,~v 3 } is also a basis for C 3 . 6. Prove that if ~ z is an eigenvector of a matrix A with complex entries, then ~ z is an eigenvector of A . What is the corresponding eigenvalue?...
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This note was uploaded on 09/30/2011 for the course MATH 235 taught by Professor Celmin during the Spring '08 term at Waterloo.
 Spring '08
 CELMIN
 Math

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