{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# test2a - Version 1 1 Solutions to Test 2 MATH 1104F Winter...

This preview shows pages 1–2. Sign up to view the full content.

Version 1 1 Solutions to Test 2 - MATH 1104F - Winter 2010 Version 1 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 x -axis (or x 1 -axis) is ( a ) 1 0 0 - 1 ( b ) 0 - 1 - 1 0 ( c ) - 1 0 0 1 ( d ) - 1 0 0 - 1 Solution: (a) 2. The inverse of 2 - 3 - 2 6 is ( a ) 6 3 2 2 ( b ) - 1 1 3 / 2 - 3 ( c ) 1 / 3 - 1 / 2 - 1 / 3 1 ( d ) 1 1 / 2 1 / 3 1 / 3 Solution: (d) 3. Which of the following statements are true? (i) Let T : R 3 R 3 be a linear transformation. If T is one-to-one then T is onto. (ii) If T : R n R m is one-to-one then n m . (iii) The transformation T : R 2 R 3 defined by T ( x, y ) = ( x + 1 , y + 1 , 1) is linear. (iv) Let A , B and C be n × n matrices. Then ( AB - 1 + C ) T = A T ( B - 1 ) T + C T . (a) (i) and (ii) only (b) (i) and (iii) only (c) (ii) and (iii) only (d) (ii) and (iv) only Solution: (a) 4. Let A be a 3 × 3 matrix, B be a 3 × 5 matrix, and C be a 3 × 5 matrix. Then the size (or order) of (2 A + BC T ) - 1 is (a) 3 × 5 (b) 5 × 3 (c) 3 × 3 (d) 5 × 5 Solution: (c) 5.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

test2a - Version 1 1 Solutions to Test 2 MATH 1104F Winter...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online