線性代數 Linear Algebra

What is Linear Algebra

System of Linear Equations

Vector

Matrix

Matrix-Vector Product

Have Solution or not

Lab - Have solution or not

How many Solutions

Solving System of Linear Equations

What can we know from RREF?

HW1 - Cycle Detection

Matrix Multiplication

Inverse of Matrix

HW2 - Hill Cipher

Subspace

Basis

Subspaces associated with Matrix

Coordinate System

Linear Function in Coordinate System

HW3 - Cosine Transform

Determinant

Eigenvalues and Eigenvectors

Diagonalization

PageRank

HW4 - Page Rank

Orthogonality

Orthogonal Projection

HW5 - Linear Regression for PM2.5 Prediction

Orthogonal Basis

Orthogonal Matrix & Symmetric Matrices

Lab - Visualizing 2D Linear Transform

General Vectors

Singular Value Decomposition

HW6 - Singular Value Decomposition

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