Linear algebra in plain view

# Part I

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## Systems of Linear Equations

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* Introduction (pdf)
* Row Reduction (A.pdf, B.pdf)
* Matrices Operations (pdf)
* Elementary Matrix (pdf)
* Determinants (pdf)
* LU Factorization (pdf)

## Vector Spaces (I)

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* Euclidean Vector Space (pdf)
* Matrix Transformation (pdf)
* General Vector Space (pdf)
* Fundamental Matrix Spaces (pdf)
* EigenSpaces of a Matrix (pdf)

* Fundamental Spaces Note (H1.pdf)
* Projection Theorem Note (H2.pdf)

q & a (pdf)

## Inner Product Spaces

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# Part II

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## Systems of Linear Equations

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* Solving Systems of Linear Equations (pdf)
* Reduced Row-Echelon Form (pdf)
* Types of Solution Sets
* Homogeneous Systems of Equations
* Nonsingular Matrices

## Vectors

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## Matrices

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## Vector Spaces

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* Vector Spaces
* Subspaces
* Linear Independence
* Spanning Sets
* Bases
* Dimension
* Properties of Dimension

## Determinants

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## Eigenvalues

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## Linear Transformations

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## Representations

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go to [ Electrical_&_Computer_Engineering_Studies ]

## External Links

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* Paul's Online Math Notes
* First Course in Linear Algebra