assignment2 - a) ; 1 , 1 1 1 , 1 1 , 1 1 b) {1 + x, x + x 2...

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University of Toronto at Scarborough Department of Computer and Mathematical Sciences Linear Algebra II MATB24 Fall 2008 Assignment # 2 You are expected to work on this assignment prior to your tutorial in the week of September 22nd, 2008. You may ask questions about this assignment in that tutorial. In your tutorial in the week of September 29th you will be asked to write a quiz based on this assignment and/or related material from the lectures and tutorials in week 2 and textbook readings. Textbook: Linear Algebra by Fraleigh & Beauregard, 3rd edition. Read: Chapter 3 Section 2 and Lecture 1 Notes Problems: 1. , Pages 201-203 # 2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 16, 17, 19, 20, 22, 23, 24, 25, 27, 28, 29, 30. 2. Addition: 1) Determine whether the following sets are linearly independent.
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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 skew-symmetric (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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This note was uploaded on 12/20/2010 for the course MAT MATB24 taught by Professor X.jiang during the Spring '10 term at University of Toronto- Toronto.

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