The number of 3x3 non singular matrices, with four entries as 1 and all other entries are 0 ,is? a)5 b)6 c)at least 7 d) less than 4
1 Answer
Dec 19, 2017
There are exactly
Explanation:
First consider the number of non-singular matrices with
They must have one
#((1, 0, 0), (0, 1, 0), (0, 0, 1))" "((1, 0, 0), (0, 0, 1), (0, 1, 0))" "((0, 1, 0), (1, 0, 0), (0, 0, 1))#
#((0, 1, 0), (0, 0, 1), (1, 0, 0))" "((0, 0, 1), (1, 0, 0), (0, 1, 0))" "((0, 0, 1), (0, 1, 0), (1, 0, 0))#
For each of these