If A= [ array ll 1 & 2 1 & 1 array ] and B= [ array cc 0 & -1 1 & 2 array ] , then what is B⁻¹ A ⁻¹ equal to?

Step-by-step solution

aligned | A | & =-1,| ~B |=1 ~A ⁻¹ & = 1 | ~A | Adj A = 1 -1 [ array cc 1 & -1 -2 & 1 array ]^ T & = [ array cc -1 & 2 1 & -1 array ] aligned aligned & B ⁻¹= 1 | ~B | Adj = 1 1 [ array cc 2 & -1 1 & 0 array ]^ T = [ array cc 2 & 1 -1 & 0 array ] & B ⁻¹ ~A ⁻¹= [ array cc 2 & 1 -1 & 0 array ] [ array cc -1 & 2 1 & -1 array ]= [ array cc -1 & 3 1 & -2 array ] . aligned