Matrix Algebra: Addition, Scalar Multiplication, Transpose

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.