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UW - MATH 308 - Class Notes - Vector Form and Operations Wednesday

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School: University of Washington
Department: Mathematics
Course: Matrix Algebra with Applications
Term: Fall 2016
Tags: vectors and matrix algebra
Name: Math 308 University of Washington Lecture 4
Description: These notes cover vector forms of systems of equations, vector properties (with proof), and linear combinations of vectors.
Uploaded: 10/11/2016
MATH 308 - Class Notes
5 pages

MATH 308 D - WEEK 1

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 1
5 pages

MATH 308 D - WEEK 1

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 2
25 pages

MATH 308 D - WEEK 2

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 3
10 pages

MATH 308 D - WEEK 3

Fall 2016

MATH 308

MATH 308 D - WEEK 3 NOTES

MATH 308 - Class Notes - Week 4
10 pages

MATH 308 D - WEEK 3

Fall 2016

MATH 308

MATH 308 D - WEEK 3 NOTES

MATH 308 - Class Notes - Week 5
12 pages

MATH 308 D - HW 1

Fall 2016

MATH 308

MATH 308 D - HW 1 HW

MATH 308 - Class Notes - Week 6
12 pages

MATH 308 D - HW 1

Fall 2016

MATH 308

MATH 308 D - HW 1 HW

MATH 308 - Class Notes - Week 7
17 pages

MATH 308 D - HW 2 - 2.1

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.1 HW

MATH 308 - Class Notes - Week 8
22 pages

MATH 308 D - HW 2 - 2.2

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.2 HW

MATH 308 - Class Notes
22 pages

MATH 308 D - HW 2 - 2.2

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.2 HW

MATH 308 - Class Notes - Week 9
10 pages

MATH 308 D - WEEK 4

Fall 2016

MATH 308

MATH 308 D - WEEK 4 NOTES

MATH 308 - Class Notes - Week 1
3 pages

Math 308 University of Washington Lecture 1

Fall 2016

MATH 308

These notes review well known concepts about systems of equations. These notes also introduce several new concepts such as Triangle Form, Echelon Systems, and parameterization.

MATH 308 - Class Notes - Week 1
3 pages

Math 308 University of Washington Lecture 2

Fall 2016

MATH 308

These notes cover systems of equations operations. It also covers augmented matrices and the corresponding row operations.

MATH 308 - Class Notes - Week 2
3 pages

Math 308 University of Washington Lecture 3

Fall 2016

MATH 308

These notes cover Echelon Form for matrices, Gaussian Elimination, Gauss-Jordan Elimination, and reduced Echelon Form. Several examples are provided.

MATH 308 - Class Notes - Week 2
2 pages

Math 308 University of Washington Lecture 5

Fall 2016

MATH 308

These notes cover how to represent systems with infinite solutions in vector form. The notes also introduce the span of vectors through linear combinations.

MATH 308 - Class Notes - Week 3
3 pages

Math 308 University of Washington Lecture 6

Fall 2016

MATH 308

These notes continue the study of spans. The notes prove that some spans contain other spans, and how to prove that a span does not cover all of R dimensional space.

MATH 308 - Class Notes - Week 3
3 pages

Math 308 University of Washington Lecture 7

Fall 2016

MATH 308

These notes cover how to represent a system of equations as a multiplication of a vector and a matrix. These notes also start the study of linear independence and whether a vector is a linear combination of the others.

MATH 308 - Class Notes - Week 3
1 pages

Math 308 University of Washington Lecture 8

Fall 2016

MATH 308

These notes complete the notes on linear independence. Includes two theorems and proofs about linear dependence.

MATH 308 - Study Guide - Midterm
11 pages

Math 308 University of Washington Midterm 1 Study Guide

Fall 2016

MATH 308

These notes cover all the topics that will be on the exam. Vectors, matrices, systems of equations, spans, linear combinations, and linear independence.

MATH 308 - Class Notes - Week 5
6 pages

Math 308 University of Washington Week 5 Notes

Fall 2016

MATH 308

These notes cover linear transformations, how they relate to linear independence, and how we can apply operations on matrices.

MATH 308 - Class Notes - Week 1
9 pages

Week 1

Fall 2016

MATH 308

Elementary Row Operations (EROs), Echelon Form (EF), Reduced Row Echelon Form (RREF), Vector, Adding, Scalar Multiplication

MATH 308 - Class Notes - Week 2
14 pages

Week 2

Fall 2016

MATH 308

Linear Combination, Span, Multiply Vector, Linear System, Span Theorem, Trivial Solution (L.C.), Linearly DependentLinearly Dependent, Linearly Independent, M Vectors Span Rm


MATH 308 - Class Notes
5 pages

MATH 308 D - WEEK 1

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 1
5 pages

MATH 308 D - WEEK 1

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 2
25 pages

MATH 308 D - WEEK 2

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 3
10 pages

MATH 308 D - WEEK 3

Fall 2016

MATH 308

MATH 308 D - WEEK 3 NOTES

MATH 308 - Class Notes - Week 4
10 pages

MATH 308 D - WEEK 3

Fall 2016

MATH 308

MATH 308 D - WEEK 3 NOTES

MATH 308 - Class Notes - Week 5
12 pages

MATH 308 D - HW 1

Fall 2016

MATH 308

MATH 308 D - HW 1 HW

MATH 308 - Class Notes - Week 6
12 pages

MATH 308 D - HW 1

Fall 2016

MATH 308

MATH 308 D - HW 1 HW

MATH 308 - Class Notes - Week 7
17 pages

MATH 308 D - HW 2 - 2.1

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.1 HW

MATH 308 - Class Notes - Week 8
22 pages

MATH 308 D - HW 2 - 2.2

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.2 HW

MATH 308 - Class Notes
22 pages

MATH 308 D - HW 2 - 2.2

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.2 HW

MATH 308 - Class Notes - Week 9
10 pages

MATH 308 D - WEEK 4

Fall 2016

MATH 308

MATH 308 D - WEEK 4 NOTES

MATH 308 - Class Notes - Week 1
3 pages

Math 308 University of Washington Lecture 1

Fall 2016

MATH 308

These notes review well known concepts about systems of equations. These notes also introduce several new concepts such as Triangle Form, Echelon Systems, and parameterization.

MATH 308 - Class Notes - Week 1
3 pages

Math 308 University of Washington Lecture 2

Fall 2016

MATH 308

These notes cover systems of equations operations. It also covers augmented matrices and the corresponding row operations.

MATH 308 - Class Notes - Week 2
3 pages

Math 308 University of Washington Lecture 3

Fall 2016

MATH 308

These notes cover Echelon Form for matrices, Gaussian Elimination, Gauss-Jordan Elimination, and reduced Echelon Form. Several examples are provided.

MATH 308 - Class Notes - Week 2
2 pages

Math 308 University of Washington Lecture 5

Fall 2016

MATH 308

These notes cover how to represent systems with infinite solutions in vector form. The notes also introduce the span of vectors through linear combinations.

MATH 308 - Class Notes - Week 3
3 pages

Math 308 University of Washington Lecture 6

Fall 2016

MATH 308

These notes continue the study of spans. The notes prove that some spans contain other spans, and how to prove that a span does not cover all of R dimensional space.

MATH 308 - Class Notes - Week 3
3 pages

Math 308 University of Washington Lecture 7

Fall 2016

MATH 308

These notes cover how to represent a system of equations as a multiplication of a vector and a matrix. These notes also start the study of linear independence and whether a vector is a linear combination of the others.

MATH 308 - Class Notes - Week 3
1 pages

Math 308 University of Washington Lecture 8

Fall 2016

MATH 308

These notes complete the notes on linear independence. Includes two theorems and proofs about linear dependence.

MATH 308 - Study Guide - Midterm
11 pages

Math 308 University of Washington Midterm 1 Study Guide

Fall 2016

MATH 308

These notes cover all the topics that will be on the exam. Vectors, matrices, systems of equations, spans, linear combinations, and linear independence.

MATH 308 - Class Notes - Week 5
6 pages

Math 308 University of Washington Week 5 Notes

Fall 2016

MATH 308

These notes cover linear transformations, how they relate to linear independence, and how we can apply operations on matrices.

MATH 308 - Class Notes - Week 1
9 pages

Week 1

Fall 2016

MATH 308

Elementary Row Operations (EROs), Echelon Form (EF), Reduced Row Echelon Form (RREF), Vector, Adding, Scalar Multiplication

MATH 308 - Class Notes - Week 2
14 pages

Week 2

Fall 2016

MATH 308

Linear Combination, Span, Multiply Vector, Linear System, Span Theorem, Trivial Solution (L.C.), Linearly DependentLinearly Dependent, Linearly Independent, M Vectors Span Rm

MATH 308 - Class Notes - Week 2
14 pages

Week 2

Fall 2016

MATH 308

Linear Combination, Span, Multiply Vector, Linear System, Span Theorem, Trivial Solution (L.C.), Linearly DependentLinearly Dependent, Linearly Independent, M Vectors Span Rm

MATH 308 - Class Notes
5 pages

MATH 308 D - WEEK 1

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 1
5 pages

MATH 308 D - WEEK 1

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 2
25 pages

MATH 308 D - WEEK 2

Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 - Class Notes - Week 3
10 pages

MATH 308 D - WEEK 3

Fall 2016

MATH 308

MATH 308 D - WEEK 3 NOTES

MATH 308 - Class Notes - Week 4
10 pages

MATH 308 D - WEEK 3

Fall 2016

MATH 308

MATH 308 D - WEEK 3 NOTES

MATH 308 - Class Notes - Week 5
12 pages

MATH 308 D - HW 1

Fall 2016

MATH 308

MATH 308 D - HW 1 HW

MATH 308 - Class Notes - Week 6
12 pages

MATH 308 D - HW 1

Fall 2016

MATH 308

MATH 308 D - HW 1 HW

MATH 308 - Class Notes - Week 7
17 pages

MATH 308 D - HW 2 - 2.1

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.1 HW

MATH 308 - Class Notes - Week 8
22 pages

MATH 308 D - HW 2 - 2.2

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.2 HW

MATH 308 - Class Notes
22 pages

MATH 308 D - HW 2 - 2.2

Fall 2016

MATH 308

MATH 308 D - HW 2 - 2.2 HW

MATH 308 - Class Notes - Week 9
10 pages

MATH 308 D - WEEK 4

Fall 2016

MATH 308

MATH 308 D - WEEK 4 NOTES

MATH 308 - Class Notes - Week 1
3 pages

Math 308 University of Washington Lecture 1

Fall 2016

MATH 308

These notes review well known concepts about systems of equations. These notes also introduce several new concepts such as Triangle Form, Echelon Systems, and parameterization.

MATH 308 - Class Notes - Week 1
3 pages

Math 308 University of Washington Lecture 2

Fall 2016

MATH 308

These notes cover systems of equations operations. It also covers augmented matrices and the corresponding row operations.

MATH 308 - Class Notes - Week 2
3 pages

Math 308 University of Washington Lecture 3

Fall 2016

MATH 308

These notes cover Echelon Form for matrices, Gaussian Elimination, Gauss-Jordan Elimination, and reduced Echelon Form. Several examples are provided.

MATH 308 - Class Notes - Week 2
2 pages

Math 308 University of Washington Lecture 5

Fall 2016

MATH 308

These notes cover how to represent systems with infinite solutions in vector form. The notes also introduce the span of vectors through linear combinations.

MATH 308 - Class Notes - Week 3
3 pages

Math 308 University of Washington Lecture 6

Fall 2016

MATH 308

These notes continue the study of spans. The notes prove that some spans contain other spans, and how to prove that a span does not cover all of R dimensional space.

MATH 308 - Class Notes - Week 3
3 pages

Math 308 University of Washington Lecture 7

Fall 2016

MATH 308

These notes cover how to represent a system of equations as a multiplication of a vector and a matrix. These notes also start the study of linear independence and whether a vector is a linear combination of the others.

MATH 308 - Class Notes - Week 3
1 pages

Math 308 University of Washington Lecture 8

Fall 2016

MATH 308

These notes complete the notes on linear independence. Includes two theorems and proofs about linear dependence.

MATH 308 - Study Guide - Midterm
11 pages

Math 308 University of Washington Midterm 1 Study Guide

Fall 2016

MATH 308

These notes cover all the topics that will be on the exam. Vectors, matrices, systems of equations, spans, linear combinations, and linear independence.

MATH 308 - Class Notes - Week 5
6 pages

Math 308 University of Washington Week 5 Notes

Fall 2016

MATH 308

These notes cover linear transformations, how they relate to linear independence, and how we can apply operations on matrices.

MATH 308 - Class Notes - Week 1
9 pages

Week 1

Fall 2016

MATH 308

Elementary Row Operations (EROs), Echelon Form (EF), Reduced Row Echelon Form (RREF), Vector, Adding, Scalar Multiplication