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Question

Mathematics Question on Determinants

If I3I_3 is the identity matrix of order 3, then I31I^{-1}_3 is

A

0

B

3I33 I_3

C

I3I_3

D

Does not exist

Answer

I3I_3

Explanation

Solution

As I3I3=I3I_3 I_3 = I_3 , thesefore I31=I3I^{-1}_3 = I_3