# a5 - University of Toronto at Scarborough Department of...

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University of Toronto at Scarborough MAT B24S Fall 2007 Assignment #5 You are expected to work on this assignment prior to your tutorial in the week of October 15th. You may ask questions about this assignment in that tutorial. In the week of October 22nd you will be asked to write a quiz based on this assignment and/or related material from the lectures and textbook readings. TEXTBOOK: Linear Algebra, 3rd edition Fraleigh Beauregard READ: Lecture notes 7-9 Sections 7.1, 7.2 PROBLEMS: 1. Section 7.2: 2, 4, 12, 18, 22, 26, 27. 2. Let T : P 2 -→ P 2 be a linear transformation deﬁned by (a) T (1) = 1 + 2 x (b) T ( x ) = - 1 + 4 x (c) T ( x 2 ) = 1 - x + 3 x 2 Find T 99 ( - 2 - 3 x + 4 x 2 ) 3. In one of the questions in your quiz next week you will be asked to write 3 deﬁnitions of the following terms:

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linear independence span basis subspace linear transformation domain co-domain range rank kernel nullity one to one onto isomorphism rank equation coordinate vector relative to a basis
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a5 - University of Toronto at Scarborough Department of...

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