Hi! I need help with this question. Thanks!

Directions: To solve these problems, you need to find the inverses of these 2x2 matrices.

a.) D= [-3 -6
6 12]

b.) C= [2 1
7 3]

1 answer

in general, for
a b
c d
the inverse is
d -b
-c a , where each term is divided by the determinant (ad - bc)

so
-3 -6
6 12 ---->

12 6
-6 -3 , each divided by -36 + 36 or 0

so this does not have an inverse.

for
1 2
7 3

determinant is (3 - 14) or -11

inverse is
-3/11 2/11
7/11 -1/11
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