Cramer's Rule, Inverse Matrix and Volume

June 7, 2019

Application of determinant

Determinant packs all the information of a matrix into a single number. One is we can get a formula for inverses: $A^{-1}=\frac{1}{\det A}C^\top$ where $C^\top$ is the cofactor matrix. Why this work? …

Kinda useless as well.

Cramer’s Rule

Kinda useless;

Volume

Determinant of a matrix is equal to the volume of box. The box is composed by the row vectors of the matrix;