10:46
Introduction to Linear Algebra: Systems of Linear Equations
Professor Dave Explains
5:26
Understanding Matrices and Matrix Notation
10:36
Manipulating Matrices: Elementary Row Operations and Gauss-Jordan Elimination
6:46
Types of Matrices and Matrix Addition
6:22
Matrix Multiplication and Associated Properties
7:09
Evaluating the Determinant of a Matrix
The Vector Cross Product
12:00
Inverse Matrices and Their Properties
7:43
Solving Systems Using Cramer's Rule
8:41
Understanding Vector Spaces
5:50
Subspaces and Span
12:56
Linear Independence
10:06
Basis and Dimension
9:34
Change of Basis
9:11
Linear Transformations on Vector Spaces
5:35
Image and Kernel
11:48
Orthogonality and Orthonormality
10:07
The Gram-Schmidt Process
17:10
Finding Eigenvalues and Eigenvectors
8:43
Diagonalization
9:00
Complex, Hermitian, and Unitary Matrices
10:10
Further Matrix Decompositions: LU, Cholesky, QR, and SVD
