Determinants Matrices Question 56
Question: If A is a square matrix such that $ A^{2}=I $ where I is the identity matrix, then what is $ {A^{-1}} $ equal to-
Options:
A) $ A+1 $
B) Null matrix
C) A
D) Transpose of A
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] Let $ A^{2}=I $
$ \Rightarrow A^{2}{A^{-1}}=I{A^{-1}} $
$ \Rightarrow A={A^{-1}} $