eigenvalues and eigenvectors of real symmetric matrices, orthogonality of eigenvectors of distinct eigenvalues of real symmetric matrices
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Lec 34 Statistical Mechanics
Lec 55 Spectral Theorem, Quadratic Forms
Lec 54 Effect of a real symmetric matrix - Geometric Interpretation
Lec 53 Eigenvalues and eigenvectors of real symmetric matrices
Lec 52 Real Symmetric matrix and properties
Lec 51 Eigensubspace and dimension
Lec 50 Eigendecomposition
Lec 48 Projection and Projection Matrices
Lec 49 Pseudoinverse of special matrices
Lec 47 Least squares solution, Pseudoinverse of A
Lec 46 System of linear equations with no solution - Inconsistent systems
Lec 45 Orientation of the four fundamental subspaces of a matrix A
Lec 43 Subspaces associated matrix A transpose, Nullity, Rank
Lec 44 Orthogonal Complement of a subspace
Lec 42 Column Space of A
Lec 41 Homogeneous system of linear equations and null space of a matrix
Lec 39 Combining vectors in a vector space, Linear Independence
Lec 40 Span, Basis, Dimension of a vector space, Fourier Expansion
Lec 37 Examples of vector spaces - Polynomial space, planes and lines through origin
Lec 38 Vector Subspaces and their geometry
Lec 36 Vector Space and Properties
Lec 35 Orthogonal Matrix, Linear Independence, eigenvalues and eigenvectors in 3D
Lec 34 Least Squares Solution, Gram-Schmidt Orthogonalization, QRDecomposition
Lec 33 LU Decomposition