Unformatted text preview: a) 1 , 1 1 1 , 1 1 , 1 1 ; b) {1 + x, x + x 2 , x 2 + x 3 , x 3 }. 2) Exhibit a basis of each of the following subspaces of the spaces indicated. a) {p(x)  p(x)= p( – x)}; in P 2 . b) 1 1 A A ; in M 22 . 3) Let A 0 and B 0 be n n matrices, and assume tat A is symmetric and B is skewsymmetric (that is, B T = – B ). Show that the set {A, B} is independent. Note: There are answers at the back of the textbook for the odd number questions....
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 Fall '09
 YANG
 Linear Algebra, Algebra, Vector Space, Fraleigh

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