Equivalence theorem: the determinant of A is nonzero.

math.la.t.equiv.det


The effect of row operations on the determinant of a matrix; computing determinants via row reduction; a square matrix is invertible if and only if its determinant is nonzero.

Created On
August 22nd, 2017
3 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
 3 years ago
Views
2
Type
 Textbook
Language
 English
Content Type
text/html