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

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

Document Summary

Math 54: (10 points) let a = Find a 3 by 2 matrix b such that ab = 1 a + c + e = 1 c = 0. Thus we can choose for example a = 1, b = 1, c = 0, d = 1, e = 0, and f = 0. 1/9 (c) (3 points) use parts a and b to nd all solutions to a(cid:126)x = Math 54: (10 points) consider the following matrix: A = (a) (3 points) find the determinant of a. Solution: there exists a unique solution (cid:126)x = a 1. Practice midterm 1 questions: (10 points) label the following statements as either true or false. September 24, 2015 (a) (2 points) every matrix can be row reduced into a unique row echelon form. (b) (2 points) if a is a square matrix with det(a) = 2, then det(a 1) = 1.