If A = [ array ll i & 1 1 & 0 array ] where i = -1 and B = A ²⁰²⁹ , then B ⁻¹=

Step-by-step solution

aligned & A= [ array ll i & 1 1 & 0 array ] & A^2= [ array ll i & 1 1 & 0 array ] [ array ll i & 1 1 & 0 array ]= [ array ll 0 & i i & 1 array ] & A^3= [ array ll 0 & i i & 1 array ] [ array ll i & 1 1 & 0 array ]= [ array ll i & 0 0 & i array ] & A ^6= A ^3 A ^3 & = [ array ll i & 0 0 & i array ] [ array ll i & 0 0 & i array ] & = [ array cc -1 & 0 0 & -1 array ]=(-1) I₂ & Now, B=A²⁰²⁹=A^ (6 338+1) & B = ( A ^6 )³³⁸ A & = ((-1) I ₂ )³³⁸ A & = I ₂ A & B = A & Now, |A|=-1 & B⁻¹=A⁻¹= 1 |A| adj A & B ⁻¹=- adj A & alig