How do you find the determinant of #((1, -1, 2), (0, 3, 0), (1, 2, 2))#?

1 Answer
Jul 10, 2016

Answer:

You can not manipulate this matrix into the form

#[(1,0,0),(0,1,0),(0,0,1)]#

So it does not have a determinate

Explanation:

#[(1,-1,2" | " 1,0,0),(0,3,0" | "0,1,0),(1,2,2" | "0,0,1)]#
#Row(2)-:3#
#" "darr#
#color(white)(.)#

#[(1,-1,2" | " 1,0,0),(0,1,0" | "0,1/3,0),(1,2,2" | "0,0,1)]#
#Row(3)-Row(1)#
#" "darr#
#color(white)(.)#

#[(1,-1,2" | " 1,0,0),(0,1,0" | "0,1/3,0),(0,3,0" | "-1,0,1)]#
#Row(3)-Row(1)#
#" "darr#
#color(white)(.)#

You can not manipulate this matrix into the form

#[(1,0,0),(0,1,0),(0,0,1)]#

So it does not have a determinate