If f ( )= | array ccc 1 & & 1 - & 1 & - -1 & & 1 array | and A and B are respectively the maximum and the minimum values of f( ) , then (A, B) is equal to:

Step-by-step solution

aligned & Let f( )= | array ccc 1 & & 1 - & 1 & - -1 & & 1 array | &=(1+ )- (- - ) &+1 (- ^2 +1 ) &=1+ + + &=2+2 + 2 &=2+ 2 + 2 aligned Now, maximum value of (1) is 2+ 1^2+1^2 =2+ 2 and minimum value of (1) is 2- 1^2+1^2 =2- 2 .