Matrix Operations: Product and Inverse

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.

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