| Line 11: | Line 11: | ||
</center> | </center> | ||
---- | ---- | ||
| − | == | + | ==The Basics== |
| − | + | ||
| − | + | ||
| − | + | ||
| − | + | ||
| − | + | ||
| − | + | ||
| − | + | ||
*Linear Equations and Linear Transformations | *Linear Equations and Linear Transformations | ||
**Introduction to [[Matrix]] | **Introduction to [[Matrix]] | ||
| Line 37: | Line 30: | ||
**What is a [[determinant]] | **What is a [[determinant]] | ||
**What are some [[properties of the determinant]]? | **What are some [[properties of the determinant]]? | ||
| + | ==Beyond the Basics== | ||
| + | *[[Jacobian|Jacobians and their Applications]], by [[Math_squad|Math Squad]] member [[user:ruanj|Joseph Ruan]] | ||
| + | * A tutorial about Bases, by [[Math_squad|Math Squad]] member [[user:ruanj|Joseph Ruan]]: | ||
| + | **[[Basis_Explanations_S13 | What is a Basis? (going beyond the introductory level) ]] | ||
| + | **[[Basis_Problems| Basis Example Problems specifically with polynomials]] | ||
| + | **[[Change_of_Bases| Change of Basis]] | ||
| + | |||
==Applications== | ==Applications== | ||
*[[ECE662_Whitening_and_Coloring_Transforms_S14_MH|Whitening and coloring transforms]] | *[[ECE662_Whitening_and_Coloring_Transforms_S14_MH|Whitening and coloring transforms]] | ||
| Line 43: | Line 43: | ||
Click [[:Category:linear algebra|HERE]] to view all pages in the [[:Category:linear algebra|"linear algebra" Category]] | Click [[:Category:linear algebra|HERE]] to view all pages in the [[:Category:linear algebra|"linear algebra" Category]] | ||
---- | ---- | ||
| − | [[linear_algebra|Back to Linear Algebra]] | + | [[linear_algebra|Back to "Linear Algebra" topic]] |
Revision as of 20:50, 4 March 2015
Tutorials and other Learning Material
The Basics
- Linear Equations and Linear Transformations
- Introduction to Matrix
- Matrix Multiplication
- Inverse of a Matrix
- 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
- What are some properties of the determinant?
Beyond the Basics
- Jacobians and their Applications, by Math Squad member Joseph Ruan
- A tutorial about Bases, by Math Squad member Joseph Ruan:
Applications
Click HERE to view all pages in the "linear algebra" Category
