Square Matrices: Invertible, Triangular, Diagonal

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Covers the matrix representations of linear applications and the equivalence between matrices.

Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.

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

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

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

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

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.

Covers matrix multiplication, properties, and inverses in linear algebra.

Explores eigenvalues, matrix trace, and similarity, highlighting their significance in matrix properties.