If for the non-singular matrix A, A2 = I, then what is \( { A}^{-1 } \).
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A
$A^2=I$
$A^{-1}(A^2)=A^{-1}.I$ [Pre-multiplying by $A^{-1}$]
$A=A^{-1}$ $[I.A=A]$
If for the non-singular matrix A, A2 = I, then what is \( { A}^{-1 } \).
Correct answer: option 1
The correct answer is Option (1) → A
$A^2=I$
$A^{-1}(A^2)=A^{-1}.I$ [Pre-multiplying by $A^{-1}$]
$A=A^{-1}$ $[I.A=A]$