Statement-1 (Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement-1 if A and B are two square matrices of order `nxxn` which satisfy `AB= A and BA = B,` then `(A+B) ^(7) = 2^(6) (A+B)` Statement- 2 A and B are unit matrices.A. Statement- is true, Statement -2 is true, Statement-2 is a correct explanation for Statement-2B. Statement-1 is true, Statement-2 is true, Sttatement - 2 is not a correct explanation for Stamtement-2C. Statement 1 is true, Statement - 2 is falseD. Statement-1 is false, Statement-2 is true

Statement-1 (Assertion and Statement- 2 (Reason) Each of these questio

1.	Statement-1 (Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement-1 if A and B are two square matrices of order `nxxn` which satisfy `AB= A and BA = B,` then `(A+B) ^(7) = 2^(6) (A+B)` Statement- 2 A and B are unit matrices.A. Statement- is true, Statement -2 is true, Statement-2 is a correct explanation for Statement-2B. Statement-1 is true, Statement-2 is true, Sttatement - 2 is not a correct explanation for Stamtement-2C. Statement 1 is true, Statement - 2 is falseD. Statement-1 is false, Statement-2 is true
Answer» Correct Answer - C `because AB = A, BA = B rArr A^(2) = A and B^(2) = B` `therefore (A+B) ^(2) = A^(2) + B^(2) + AB + BA = A + B + A +B` ` = 2(A+B)` `(A+B)^(3) = (A+B) ^(2) . (A+B)` `=2 (A+B)^(2) = 2^(2) (A+B)` `therefore (A+B)^(7) = 2^(6) (A+B)` Statement - 1 is true and Statement -2 is false.

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