Question

Find the inverse of each of the following matrices, if possible

[i 3
1+i -i]

Answer 1

We can only take inverses of square matrices.
I see 2 numbers in the first row, but 3 in the second row.
Are there supposed to be brackets?
Is it
i 3
(1+i) - i
??

Answer 2

yes. so

i 3

(1+i) (-i)

Answer 3

the i and 3 are separate as well

Answer 4

in general the inverse of
a b
c d
is

1/(ad - bc)
times

d -b
-c a

e.g.


5 4
2 2

inverse is
1/(10-8)
times
2 -4
-2 5
=
1 -2
-1 2.5

Apply this rule to your matrix