MATH 221 Study Guide - Midterm Guide: Gaussian Elimination, 7Z, Linear Combination

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

Document Summary

Special instructions: no books or notes or electronic devices allowed, answer all questions. Each part of each question is worth 2 marks, for a total of 50 marks: give your answer in the space provided. If you need extra space, use the back of the page: show enough of your work to justify your answer. Candidates must follow any additional examination rules or directions communicated by the instructor or invigilator. Problem 1: let a = and let u = Then the matrix u is an echelon form for a (you may assume this, you don"t have to do the row reduction again. : find the rank of a, find a basis for the column space of a. 2: find a basis of the row space of a, solve the equation ax = 0. 3: find a basis for the null space of a, let a1, a2, . Express a5 as a linear combination of a1, a2, a4.