Show that [4-1 3][2 5-1][-8 2 6]is a singular matrix?

1 Answer
Sep 23, 2017

The matrix is not singular as the determinant is #!=0#

Explanation:

We calculate the determinant

#|(4,-1,3),(2,5,-1),(-8,2,6)|#

#=4*|(5,-1),(2,6)|+1*|(2,-1),(-8,6)|+3*|(2,5),(-8,2)|#

#=4(5*6+1*2)+(2*6-1*8)+3(2*2+8*5)#

#=4*(30+2)+(12-8)+3*(4+40)#

#=128+4+132#

#=264#

The matrix is not singular as the determinant is #!=0#