Block matrix

Related lectures (28)

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Covers matrix calculus, including determinants, matrix inversion, and solutions to systems of linear equations.

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

Covers the Binet-Cauchy theorem, showing how determinants of matrix products relate to submatrix determinants.

Explores properties of orthogonal and triangular matrices with linearly independent columns and their mathematical operations.

Explores efficient determinant calculations using triangular matrices and specific row/column selections for simplification.

Covers the resolution of a system of equations using the Gramer rule.

Explores the definitions and properties of invertible matrices, including determinants and uniqueness of solutions.

Explores upper triangular block matrices, invertibility, elementary transformations, and determinants with examples.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

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