| Line 45: | Line 45: | ||
---- | ---- | ||
==Applications== | ==Applications== | ||
| + | *[[ECE637_tomographic_reconstruction_coordinate_rotation_S13_mhossain|Coordinate Rotations]] | ||
*[[ECE662_Whitening_and_Coloring_Transforms_S14_MH|Whitening and coloring transforms]] | *[[ECE662_Whitening_and_Coloring_Transforms_S14_MH|Whitening and coloring transforms]] | ||
*[[Implementation_of_the_Divide_and_Conquer_DFT_via_Matrices|"divide and conquer" Discrete Fourier Transform (DFT)]] | *[[Implementation_of_the_Divide_and_Conquer_DFT_via_Matrices|"divide and conquer" Discrete Fourier Transform (DFT)]] | ||
Revision as of 21:43, 4 March 2015
Tutorials and other Learning Material
The Basics
- Linear Equations and Linear Transformations
- Introduction to Matrix
- Matrix multiplication Version 1 and Version 2
- Inverse of a Matrix Version 1 and Version 2
- Introduction to Linear Transformations
- Subspaces of $ R^n $
- Definition of Subspace
- Definition of Kernel
- Definition of Image
- What is the Rank Nullity Theorem?
- When are vectors Linearly Independent
- When do vectors form a basis?
- Orthogonality
- When are vectors orthogonal?
- Determinants
- What is a determinant.
- Another intro to Determinants
- What are some properties of the determinant?
Beyond the Basics
- Dim(V) + Dim(Vorthogonal)=n
- Proof that transposing a matrix does not change its determinant
- Inner products and orthogonality
- Least Squares Solution (the formula)
- Jacobians and their Applications, by Math Squad member Joseph Ruan
- A tutorial about Bases, by Math Squad member Joseph Ruan:
- Linear Programming
Applications
- Coordinate Rotations
- Whitening and coloring transforms
- "divide and conquer" Discrete Fourier Transform (DFT)
Click HERE to view all pages in the "linear algebra" Category
