Matrix Calculus

Related lectures (27)

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Covers the calculation of determinants in matrix algebra and their application in solving linear equations.

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

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

Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.

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

Covers the definition of 3x3 matrices, determinants, matrix operations, and invertibility.

Covers the definitions and properties of matrices, including matrix operations and determinants.

Introduces symmetric and anti-symmetric matrices, matrix powers, inverses, elementary matrices, and matrix manipulation.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.