MATH 4A Study Guide - Final Guide: Invertible Matrix, Row And Column Spaces, Dot Product

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15 Oct 2018
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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. Disclaimer: the content and level of di culty of this quiz are not guaranteed to be in correlation with the midterm nor nal examinations in any form. 9: t f if a is an m n matrix, the rank-nullity theorem states rank(a)+nullity(a) = m. The vector (3, 1) is a solution to the system ax = b where. Let a = (cid:18)a b (cid:19) c d.