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## LINEAR ALGEBRA

by: Cassidy Grimes

24

0

4

# LINEAR ALGEBRA MATH 544

Cassidy Grimes

GPA 3.51

A. Kustin

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COURSE
PROF.
A. Kustin
TYPE
Study Guide
PAGES
4
WORDS
KARMA
50 ?

## Popular in Mathematics (M)

This 4 page Study Guide was uploaded by Cassidy Grimes on Monday October 26, 2015. The Study Guide belongs to MATH 544 at University of South Carolina - Columbia taught by A. Kustin in Fall. Since its upload, it has received 24 views. For similar materials see /class/229536/math-544-university-of-south-carolina-columbia in Mathematics (M) at University of South Carolina - Columbia.

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Date Created: 10/26/15
0 Notes on Exam 1 Math 544 Summer 2006 Exam 1 is Wednesday June 7 and it covers sections 1 2 3 5 6 7 and 9 of Chapter 1 Be able to de ne linearly independent and non singular Be able to state and use the result about the linear dependence of p vectors in m space 1 call this the Short Fat Theorem Be able to state and use the Non singular Matrix Theorem This result NOW consists of FOUR equivalent statements We proved the equivalence of three statements in section 17 We proved that a fourth statement is equivalent to the rst three in section 19 The material on the old exams which is covered on your exam 1 a Exam 17s 97 all 98 all 01 1 2 3 4 5 6 7 02 1 2 3 4 6 7 10 spring 03 123 56 789 10 summer 03 1 2 3 4 5 6 7 8 9 04 1 2 3 4 5 summer 05 all fall 05 1 2 3 4 5 6 b Exam 27s spring 03 1 2 3 4a 4b 4c 6 summer 03 1 2 3 4 5 6 7 8 9 10 04 1 2 3 4 5 6 7 8 summer 05 1 2 4 5 6 7 fall 05 1 7 8 0 Exam 37s 98 1 6 7 01 4 5 10 02 6 summer 03 1 d Final Exams 97 1 You can only list three statements so far 9 The matrices A and b are given before problem 6 14 15 16 98 1 You can only list three statements so far 4 5 6 01 1 You can only list three statements so far 4 91 9e 10e 10f 02 1 You can only list three statements so far 3 8 Solve A1 b and then stop 151 spring 03 11 16 17 19 summer 03 11 16 17abc 04 1abc 4 summer 05 1ab fall 05 1ab 6 7 You can only list three statements so far 16 93 Notes on Exam 3 Math 544 Fall 2006 Exam 3 is Tuesday October 24 It covers sections 32 33 34 and 35 Be able to de ne column space null space basis dimension closed under addition closed under scalar multiplication subspace of R Be able to state and use four theorems about dimension Be able to state and use the Non singular Matrix Theorem 1 have also called this the lnvertible Matrix Theorem This result consists of a huge number of equivalent statements The material on the old exams which is covered on your exam 3 a Exam 27s 97 34 5 6 789 10 98 3 4 7 8 10 01 8 9 02 6 Spring 03 5 6 7 8 Summer 03 3 04 5 10 Summer 05 4 Fall 05 2 3 4 Summer 06 1 Fall 06 134 56 79 b Exam 37s 97 134 56 78 98 234 56 789 01 3 4 8 9 02 1 2 3 7 8 9 10 Spring 03 1 2 3 6 789 Summer 03 2 4 5 6 789 04 134 789 Summer 05 1 2 3 4 5 6 7 Fall 05 1 4 5 6 7 8 10 c Exam 47s 98 2 4 5 7 01 1 2 4 5 8 9 10 02 289 Spring 03 8 Summer 03 1 2 5 6 Summer 05 1 d Final Exams 97 1 3 6 7 8 Notice that A and b for 6 7 and 8 are given above problem 6 13 15 16 98 17111417 01 1 7 8 9 10 abcd 13 02 1 8 11 16 Spring 03 12 18 Summer 03 1 2 3 7 12 14 17 defgh 04 1 cdefg 6 12 13 14 Summer 05 1 cdefg 2 8 E11105 lcdefg 2 7 14 15 16 Summer 06 3defgh 6 7 8 12

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