Matrix calculus

Related lectures (12)

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

Covers matrix calculus, including operations and determinants.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

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

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Covers Jacobian matrix, composite function derivative, change of variables, and integral derivative.

Covers local invertibility of vector fields and the Inverse Function Theorem.

Explains differentiability in LR functions and introduces the Jacobian matrix.

Explores partial differentiability, the chain rule, and invertibility of vector fields.

Covers local invertibility of vector fields and the Inverse Function Theorem.

Covers derivability, linear applications, composition of functions, and the gradient vector.

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