MATH 221 Midterm: MATH 221 2004 Winter Test 2

• School: UBC
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

I have read and understood the instructions below: Instructions: no notes or books are to be used in this exam. No calculators are allowed: there are 11 pages (including this cover page) in the exam. Unsupported answers will receive no credit: you will be given 2. 5 hrs to write this exam. Cases of academic dishonesty may lead to a zero grade in the exam, a zero grade in the course, and other measures, such as suspension from this university. A linear transformation t : r2 r2 is de ned as the re ection in the line x1 = x2 followed by a counter-clockwise rotation of 90 degrees. Find the transformation matrix a such that t (~x) = a~x in standard basis. Present a brief reason or calculation to support your answer. (a) the quadratic form q(x1, x2) = 2x2 matrix algebra in your answer).