MATH 307 Study Guide - Midterm Guide: Power Iteration, Net., Block Matrix

• School: UBC
• Department: Mathematics
• Course: MATH 307
• Professor: all

Document Summary

Special instructions: no books, notes, or calculators are allowed. A matlab/octave formula sheet is provided on the last page. Read the questions carefully and make sure you provide all the information that is asked for in the question. Answers without any explanation or without the correct accompanying work could recieve no credit, even if they are correct: answer the question in the space provided. Continue on the back of the page if necessary. [12] 1. (a) [3 pts] write down the de nition of the matrix norm kak of a matrix a. Solution: kak = max x6=0 kaxk kxk (b) [3 pts] write down the de nition of the condition number cond(a) of a matrix a. The condition number bounds the relative error in the solution xof the system ax = b in terms of the relative error in b.