Block 1 – Vector Spaces
Review of Matrices
Vector Spaces
Subspaces
Block 2 – Vector Spaces-II
Systems of Linear Equations
Bases and Dimension
Elementary Matrices and Row Reduction
Block 3 – Linear Transformations
Linear Transformations-I
Linear Transformations-II
Linear Transformations and Matrices-I
Matrices-II
Block 4 – Eigenvalues and Eigenvectors
Determinants
Eigenvalues and Eigenvectors
Characteristic and Minimal Polynomial
Block 5 – Inner Products And Quadratic Forms
Inner Product Spaces
Hermitian and Unitary Operators
Real Quadratic Forms
Conics
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