Question

If (A + B)^-1 = A^-1+ B^-1, then the correct statement for every A and B is

(a) AB^-1 = BA^-1
(b) AB = BA
(c) AB^-1A = BA^-1B
(d) A = A^-1 and B = B^-1​

Answer 1

Step-by-step explanation:

If (A + B)^-1 = A^-1+ B^-1, then the correct statement for every A and B is

(a) AB^-1 = BA^-1

(b) AB = BA

(c) AB^-1A = BA^-1B

(d) A = A^-1 and B = B^-1