Linear Equations and Matrices: Solution Methods, Elementary Operations

Related lectures (28)

Page 2 of 3

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Covers the basics of linear algebra, focusing on matrices and operations.

Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Explores solving linear equations, matrix uniqueness, and reduction methods with examples.

Covers element-wise operations in MATLAB and Octave using matrices and vectors.

Covers matrix operations and reduction to echelon form with practical examples.

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.