math.la.t.mat.det.product

Determinant of the transpose equals the determinant of the original matrix; rescaling a column rescales the determinant by the same factor; interchanging two columns changes the sign of the determinant; adding multiple of one column to another leaves determinant unchanged; determinant of the product of two matrices equals product of the two determinants

- Created On
- August 25th, 2017
- 7 years ago
- Views
- 3
- Type
- Video
- Language
- English
- Content Type
- text/html; charset=utf-8

We have seen how to compute the determinant of a matrix, and the incredible fact that we can perform expansion about any row or column to make this computation. In this largely theoretical section, we will state and prove several more intriguing properties about determinants. Our main goal will be the two results in Theorem SMZD and Theorem DRMM, but more specifically, we will see how the value of a determinant will allow us to gain insight into the various properties of a square matrix.

- License
- GFDL-1.2
- Submitted At
- September 11th, 2017
- 7 years ago
- Views
- 3
- Type
- Language
- English
- Content Type
- text/html