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Unformatted text preview: University of Toronto at Scarborough Department of Computer & Mathematical Sciences FINAL EXAMINATION MATA23H Linear Algebra I Examiner: N. Cheredeko Date: April 14, 2004 Duration: 3 hours I. Multiple Choice Questions Display the answers in the front page table. Each question worths 5 marks. 1. Suppose X = a b c d b- c = 3 , Y = a b c d a = b + c , Z = a b c d a = 0 ,b = d . Which of these subsets of the vector space R 4 are subspaces. A. None B. X only C. Y and Z only D. X,Y and Z E. The correct answer is not given by A, B, C or D 2. Let T 1 x y = 2 x + y- x + y and T 2 x y = x x + 2 y . Which of the following matrices represents the composition T 1 T 2 with respect to the standard basis for R 2 ?...
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