MATH 1104 Midterm: MATH 1104 Term Test 2 Winter

• School: Carleton University
• Department: Mathematics
• Course: MATH 1104
• Professor: All

Document Summary

Math1104 - test 2 ( feb 4, wednesday, 11:35 am - 12:25 pm) Part 1: multiple choice (no partial marks), circle the correct answer: (2 points) if ta : r2 r3, where. T (x1, x2) = (x1 + 4x2, 2x1 + 5x2, 3x1 + 6x2), then the standard matrix a is: 6 3 (b) (cid:34) (cid:35) (cid:34) (cid:35) (c) 0 (a) only (1) (b) (1), (3) (c) (2), (3) (d) (1), (2), (3) Solution: (d: (2 points) let ta((cid:126)x) = (cid:34) (cid:35) Is ta onto? (a) linear, onto (b) linear, not onto (c) non-linear, onto (d) non-linear, not onto. Solution: (a: (2 points) if t is non-linear, then t ((cid:126)0) (cid:54)= (cid:126)0. (a) true (b) false. Solution: (b: (2 points) if t (x1, x2) = (x1 3x2, x1 + 3x2, 3x1 2x2), then t is 1:1. (a) true (b) false.