Determinants: Cofactors and Matrix Operations

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Covers matrix operations, focusing on the product and inverse of matrices.

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

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

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

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.

Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

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

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.