MATH 1025 Study Guide - Midterm Guide: Linear Combination, Elementary Matrix, Linear Map

284 views10 pages

Document Summary

Instructions: duration 120 minutes, no calculators or other aids permitted, show all your work, all your answers must be justified, use back of the pages for any scrap work. , there are 9 questions. Find a set of basic solutions and express the general solution as a linear combination of these basic solutions. x. 4i c f 2c using the property of determinants in terms of elementary row operations. If a and b are invertible symmetric matrices such that ab = ba , prove that ab , ab 1 and. 10 and let n be a positive integer. Find the solution of the systems a an b below, describe them as sets of points in r3 and calculate the shortest distance between the solution of the system a and the solution of the system b : Solve the problem by using the linear operator. Given is inu , write it as a linear combination of y! and z!