# test2b - Version 2 1 Solutions to Test 2 MATH 1104F Winter...

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Unformatted text preview: Version 2 1 Solutions to Test 2 - MATH 1104F - Winter 2010 Version 2 PART I: Multiple choice questions (3 points each) Choose and circle only one answer. No partial marks here. No justification is required. 1. The standard matrix for the linear transformation T : R 2 → R 2 that represents a reflection through the y-axis (or x 2-axis) is ( a ) 1- 1 ( b )- 1- 1 ( c )- 1 0 0 1 ( d )- 1- 1 Solution: (c) 2. The inverse of 2- 2- 3 6 is ( a ) 6 2 3 2 ( b )- 1 3 / 2 1- 3 ( c ) 1 1 / 3 1 / 2 1 / 3 ( d ) 1 / 3- 1 / 3- 1 / 2 1 Solution: (c) 3. Which of the following statements are true? (i) The transformation T : R 2 → R 3 defined by T ( x,y ) = ( x- 1 , 1 ,y + 1) is linear. (ii) Let T : R 5 → R 5 be a linear transformation. If T is one-to-one then T is onto. (iii) Let A , B and C be n × n matrices. Then ( AB- 1 + C ) T = A T ( B- 1 ) T + C T . (iv) If T : R n → R m is onto then m ≤ n . (a) (i) and (ii) only (b) (i) and (iii) only (c) (ii) and (iii) only (d) (ii) and (iv) only Solution:...
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test2b - Version 2 1 Solutions to Test 2 MATH 1104F Winter...

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