Matrices: Elementary Linear Algebra

Related lectures (26)

Page 2 of 3

Explains linear independence, basis, and matrix rank with examples and exercises.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Explores injective and surjective linear transformations, kernel, image, and matrix operations.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Covers linear applications, matrices, transformations, and the principle of superposition.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Explores projections in R³, matrix properties, and trace concepts with practical examples.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Explains the concept of least squares solutions and their application in finding the closest solution to a system of equations.