MATH136 Study Guide - Midterm Guide: University Of Waterloo, Linear Combination, California State Route 2
20 Jan 2020
School
Department
Course
Professor
34
MATH136 Full Course Notes
Verified Note
34 documents
Document Summary
Student name (print legibly) (family name) (given name) Instructors/sections (cid:3) 001 andrew beltaos (11:30) (cid:3) 002 linda farczadi (1:30) (cid:3) 003 brian ingalls (12:30) Marking scheme: fill in your name, id number, section, and sign the paper. Don"t write formulas on this page: answer all questions in the space provided. The last page is for rough work: check that there are 10 sheets, your grade will be in- Uenced by how clearly you express your ideas, and how well you organize your solutions. Solution: let ~x rn and a, b r. prove that (a + b)~x = a~x + b~x. Then (a + b)~x = (a + b) ax1 ax2 axn bx1 bx2 bxn x1 x2 xn. = a x1 x2 xn ax1 + bx1 ax2 + bx2 axn + bxn. = a~x + b~x. (a + b)x1 (a + b)x2 (a + b)xn. Note (of course) that ~a and ~b are both contained in the plane.
