Contents
MA265:Linear Algebra
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- 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?
- Linear Equations and Linear Transformations