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Fall 2016

MATH 308

MATH 308 D - WEEK 1 NOTES

MATH 308 D - WEEK 3 NOTES

MATH 308 D - HW 1 HW

MATH 308 D - HW 2 - 2.1 HW

MATH 308 D - HW 2 - 2.2 HW

MATH 308 D - WEEK 4 NOTES

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.

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

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

These notes cover vector forms of systems of equations, vector properties (with proof), and linear combinations of vectors.

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

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.

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.

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

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

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

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