Summation of Determinants
Let Dr =
where a, b, c, l, m and n are
constants, independent of r.
Then
. Here function of r can be
the elements of only one row or one column.
Example.1
Let
.
= 0.
Solution
By adding all the
corresponding elements of C1 of all determinants Da we have ![](http://www.quizsolver.com/radix/dth/notif/Determinants%204_files/image005.gif)
![](http://www.quizsolver.com/radix/dth/notif/Determinants%204_files/image006.gif)
![](http://www.quizsolver.com/radix/dth/notif/Determinants%204_files/image007.gif)
![](http://www.quizsolver.com/radix/dth/notif/Determinants%204_files/image008.gif)
![](http://www.quizsolver.com/radix/dth/notif/Determinants%204_files/image009.gif)
![](http://www.quizsolver.com/radix/dth/notif/Determinants%204_files/image010.gif)