Dive into the fundamental concepts of linear algebra in this comprehensive 90-minute lecture covering Gaussian Elimination, advanced Gauss techniques, and solutions to linear equations. Explore the intricacies of span, linear independence, and homogeneous and particular solutions. Gain insights into linear transformations, including one-to-one and onto mappings, matrix representations, and the rotation matrix. Master essential tools for solving complex linear systems and understanding vector spaces.
Overview
Syllabus
Gaussian Elimination.
Gauss 2.0.
No solution.
Infinitely many solutions.
Abby.
Span.
Span is Rn.
Linear Independence.
Homogeneous and Particular Solution.
Linear Transformations.
One to one, onto, matrix.
Rotation Matrix.
Taught by
Dr Peyam
