MATH 4A Study Guide - Final Guide: Bajju People, Invertible Matrix, Dot Product
Document Summary
Directions: you may use one 3 5 notecard, however no other outside resources such as books, notes, or calculators are allowed. Write your solutions in your bluebook and clearly mark the prob- lems. If you solve a problem multiple times, cross out the work you do not want graded, otherwise you will receive little or no partial credit. Unless otherwise speci ed, numbers included in a solution are not to be approximated, but instead expressed as exact numbers (i. e. , in terms of square roots, multiples of , etc. , xb = (cid:18) 4 (cid:26)(cid:18) 3 5 (cid:19) (cid:19)(cid:27) (cid:18)5 (cid:19) 1 (cid:18) 2 5 (cid:26)(cid:18) 1 3 (cid:19)(cid:27) (cid:19) (cid:18) 2 (cid:19) 5: find the eigenvalues and eigenvectors of each matrix, is, is = 2 an eigenvalue of. 3 (cid:18)2 3 (cid:19: find the rank and nullity of a = 4 1: diagonalize the matrix, let u = (2, 1, 1) and v = (1, 1, 2).
