Advanced Linear Algebra

Before we begin!

I would like to give a special thank you to:

• Josh Latka, Professor of Engineering Mathematics at Dalhousie University

• Prime Newtons, Mathematical Education on YouTube

• David James “Dave” Farina Mathematical Education

For their contributions in Mathematical education, and provision of knowledge for this wiki tree. The following notes are my first year class notes for Applied Linear Algebra, and I hope you may find them helpful!

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• Vector Spaces
• Linear Combination, Span, Linear Independence
• Basis and Dimension
• Orthogonal Sets in Rn
• Gram-Schmidt
• QR Decomposition
• Complex Numbers
• Best Approximation
• General Vector Spaces and LeGrange Polynomials
• Weighted Least Squares, Best Approximations of Functions
• MATLAB