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Linear Algebra Tutorial

All of the YouTube videos on this page were created and posted by Professor Dave Explains. This series is a thorough approch to mathematics that begins with basic arithmatic and ends with vector calculus. We hope that you find these tutorials useful.

Intro to Linear Algebra Matrices and Matrix Notation Manipulating Matrices
Adding Matrices Matrix Multiplication Determinant of a Matrix
Vector Cross Product Inverse Matrices Cramer’s Rule
Vector Spaces Subspaces and Span Linear Independence
Basis and Dimension Change of Basis Linear Transformations
Image and Kernel Orthogonality and Orthonormality Gram-Schmidt Process
Eigenvalues and Eigenvectors Diagonalization Complex, Hermitian, and Unitary Matrices