MATH 221 Study Guide - Midterm Guide: Diagonalizable Matrix, Linear Map, Coordinate Vector

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

Document Summary

Instructors: dr. macasieb, dr. tsai, and dr. liu. Be sure that this examination has 12 pages. Write your name on top of each page. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. Page 2 out of 12: [12pt] consider the following linear system x + 3y 2z + 2w = 1 y + z 2w = 2 x + 2y 2z + aw = 0. 2x + 8y z + w = b. Page 3 out of 12: [10pt] let s be the map in r3 which rotates points about the x1-axis by an angle /2 (the axes are oriented by the right hand rule). Let t be the map in r3 which translates points by the formula t (x1, x2, x3)t = (x1 + 1, x2 1, x3)t .