If A= [ array ll 1 & 0 2 & 1 array ], B= [ array ll 1 & 3 0 & 1 array ] , then det (A^6+B^6 )=

Step-by-step solution

Given, A= [ array ll 1 & 0 2 & 1 array ], B= [ array ll 1 & 3 0 & 1 array ] aligned & A^2= [ array ll 1 & 0 2 & 1 array ] [ array ll 1 & 0 2 & 1 array ] & A^2= [ array ll 1+0 & 0+0 2+2 & 0+1 array ]= [ array ll 1 & 0 4 & 1 array ] aligned A^3= [ array ll 1 & 0 4 & 1 array ] [ array ll 1 & 0 2 & 1 array ] [A^2 A=A^3 ] A^3 [ array cc 1+0 & 0+0 4+2 & 1 array ]= [ array ll 1 & 0 6 & 1 array ] Similarly, A^6= [ array cc 1 & 0 12 & 1 array ] [A^n=A₂₁=n 2 ] Now, B= [ array ll 1 & 3 0 & 1 array ] aligned & B^2= [ array ll