Linear Algebra

This is Linear Algebra Lecture Notes

Week 1

• RPS
• Linear Algebra 1.1: Introduction to Systems of Linear Equations
• Linear Algebra 1.2: Gaussian Elimination
• Linear Algebra 1.3: Matrices and Matrix Operations
• Linear Algebra 1.4: Inverses; Algebraic Properties of Matrices

Week 2

• Linear Algebra 1.5: Elementary Matrices and a Method for Finding \(A^{-1}\)
• Linear Algebra 1.6: More on Linear Systems and Invertible Matrices
• Linear Algebra 1.7: Diagonal, Triangular, and Symmetric Matrices
• Linear Algebra 1.8: Matrix Transformations
• Linear Algebra 1.9: Applications of Linear Systems
• Linear Algebra 10.4: Markov Chains

Week 3

• Linear Algebra 2.1: Determinants by Cofactor Expansion
• Linear Algebra 2.2: Evaluating Determinants by Row Reduction
• Linear Algebra 2.3: Properties of Determinants; Cramer’s Rule
• Octave Tutorial
• Pyton Tutorial
• Markov Chain Tutorial

Week 4

• Asesmen CPMK 1
• Bullying

Week 5

• Linear Algebra 3.1: Vectors in 2-Space, 3-Space, and \(n\) -Space
• Linear Algebra 3.2: Norm, Dot Product, and Distance in \(R^n\)

Week 6

• Linear Algebra 3.3: Orthogonality
• Linear Algebra 3.4: The Geometry of Linear Systems
• Linear Algebra 3.5: Cross Product

Week 7

• Linear Algebra 4.1: Real Vector Spaces
• Linear Algebra 4.2: Subspaces

Week 8

• Linear Algebra 4.3: Linear Independence
• Linear Algebra 4.4: Coordinates and Basis
• Linear Algebra 4.5: Dimension
• Linear Algebra 4.6: Change of Basis

Week 9

• Linear Algebra 4.7: Row Space, Column Space, and Null Space
• Linear Algebra 4.8: Rank, Nullity, and Fundamental Matrix Spaces

Week 10

• UTS / Asesmen CPMK - 2

Week 11

• Linear Algebra 4.9: Basic Matrix Transformations in \(R^{2}\) and \(R^{3}\)
• Linear Algebra 4.10: Properties of Matrix Transformations
• Linear Algebra 4.11: Geometry of Matrix Operators on \(R^{2}\)

Week 12

• Linear Algebra 5.1: Eigenvalues and Eigenvectors
• Linear Algebra 5.2: Diagonalization

Week 13

• Linear Algebra App: Robotic
• Linear Algebra App: PCA
• Linear Algebra App: Ciphers