MAT 320 Linear Algebra
Homework 6 Vector Spaces - Part III of the Trilogy
November 8, 2012
Instructions: Due date: 12 November
Recommended supplemental and reference problems.
4.1. Page 189. 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 47, 49, 55
4.2. Page
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MAT 320 Linear Algebra
Homework 1 Systems of Linear Equations
August 24, 2014
Instructions: Show all work relevant to the solution of each problem. i.e. no credit will be given for
just the answers. It is strongly recommended that you begin work on the re
MAT 320 Linear Algebra
Homework 5 Vector Spaces II
October 22, 2012
Instructions: Show all work relevant to the solution of each problem. i.e. no credit will be given for
just the answers. It is strongly recommended that you begin work on the reference pr
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LINEAR DEPENDENCE AND THE ZERO VECTOR
MICHAEL VANVALKENBURGH
Today in class you asked good questions about linear dependence and the zero vector, and
I want to make sure to give clear answers.
The denition of linear dependence says:
A set cfw_v1 , . . . ,
The Invertible Matrix Theorem
Let A be an n n matrix. Then the following are equivalent:
a.
The matrix A is invertible (non-singular).
b.
The matrix A is row equivalent to In .
c.
The matrix A has n pivot positions.
d.
The equation Ax = 0 has only the tri