How do you find the inverse of #A=##((6, 4), (3, 2)) #?

1 Answer
Jun 30, 2016

Answer:

#A=((6,4),(3,2))# does not have an inverse.

Explanation:

For a #2xx2# matrix: #M=((a,b),(c,d))#
the inverse, if it exists, is
#color(white)("XXX")M^(-1)=((d/delta,-b/delta),(-c/delta,a/delta))#
where #delta# is the determinant of #M#

Note that in this case with #A=((6,4),(3,2))#
#color(white)("XXX")delta_A=(6xx2)-(3xx4)=0#
and since division by zero is undefined,
#A^(-1)# does not exist.