MATH 3A Study Guide - Midterm Guide: Linear Independence, Row Echelon Form, Linear Map

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 3A
• Professor: All

Document Summary

This is a closed book exam, no notes or calculators allowed. It consists of 7 problems, each worth 10 points. We will grade all 7 problems and drop your lowest score, making the exam out of 60 points. Please avoid writing near the corner of the page where the exam is stapled, this area will be removed when the papers are scanned for grading. There are blank sheets attached at the back, feel free to use them for scratch work. If you want anything on those sheets graded, please indicate on the relevant problem which page your work is located on. Math 54: (10 points) let a = (cid:20) 1 1 1. Find a 3 by 2 matrix b such that ab = (cid:20) 1. Math 54: (10 points) consider the following matrix: A = (a) (3 points) find the determinant of a. Midterm 1 (c) (3 points) use parts a and b to nd all solutions to a(cid:126)x =