Cofactor and Adjugate Matrices, Vec Operation, Moore-Penrose Inverse and Permutation Matrix

Описание: This lesson covers the cofactor and adjugate matrices (concepts related to the determinant of a matrix). Next, the vec operation is defined and related to the trace and kronecker product. The vec operation turns a matrix into a column vector. We proceed to define the Moore-Penrose inverse of a matrix, and then conclude with a brief discussion on permutation matrices.

References
[1] Huber, K., Math 26: Introduction to Linear Algebra, Section 2.6, LibreTexts™, https://math.libretexts.org/Courses/I.... This concerns the proof that the inverse of a matrix equal the reciprocal of the determinant of the matrix times the adjugate of the matrix.

[2] Adjugate matrix, Wikipedia, https://en.wikipedia.org/wiki/Adjugat....

[3] Moore-Penrose inverse, Wikipedia, https://en.wikipedia.org/wiki/Moore%E....