MATH1030A - Linear Algebra I - 2023/24
Lecture Notes
- Matrix operations
- Matrix operations with remarks
- Matrix multiplication
- Matrix multiplication with remarks
- Transpose
- Transpose with remarks
- Commutativity
- Commutativity with remarks
- Linear systems
- Linear systems with remarks
- Linear Combination
- Linear Combination with remarks
- More remarks and questions
- Linear Dependence(independence)
- Linear Dependence(independence) with remarks
- Row Operations
- Row Operations with remarks
- Row Operation Matrices
- Row Operation Matrices with remarks
- Reduced Row Echelon Forms
- Reduced Row Echelon Forms with remarks
- Gaussian Elimination
- Gaussian Elimination with remarks
- Solving Linear Systems
- Solving Linear Systems with remarks
- Determine Linear Combinations
- Determine Linear Combinations with remarks
- Determine Linear Dependence
- Determine Linear Dependence with remarks
- Invertible Matrices
- Invertible Matrices with remarks
- Invertibility and Row operations
- Invertibility and Row operations with remarks
- Invertibility and Equivalent Descriptions
- Invertibility and Equivalent Descriptions with remarks
- Rref Uniqueness
- Rref Uniqueness with remarks
- Set of Matrices
- Set of Mattices with remarks
- Set Equality
- More remarks and quaestions
- Sub spaces with remarks
- Basis with remarks
- Dimensions with remarks
- Minimal Spanning Set with remarks
- Basis Dimensions and Null Spaces with remarks
- Rank Nullity formula with remarks
- Determinants with remarks
Assessment Policy Last updated: November 16, 2023 22:44:07