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Recommended resources
Module 1
Vector Spaces and Subspaces
Module 2
Linear Transformations and Matrices
Module 3
Systems of Linear Equations and Invertibility
Module 4
Determinants
Module 5
Inner Product Spaces and Orthogonality
Module 6
Eigenvalues and Diagonalization
Module 7
Spectral Theory and Singular Value Decomposition (SVD)
Module 8
Application: Principal Component Analysis (PCA)
Module 9
Foundations of Probability
Module 10
Random Variables and Distributions
Module 11
Joint Distributions and Limit Theorems
Module 12