If matrix A= [ array ll 1 & 2 3 & 5 array ] and A⁻¹= I+ A where I is a unit matrix of order 2 and , are constants, then the value of + + is

Step-by-step solution

aligned & A⁻¹= I+ A & [ array ll 1 & 2 3 & 5 array ]⁻¹= [ array ll 1 & 0 0 & 1 array ]+ [ array ll 1 & 2 3 & 5 array ] & [ array cc -5 & 2 3 & -1 array ]= [ array cc + & 2 3 & +5 array ] & =-6, =1 aligned Now + + =-6+1+(-6) 1=-11