`A=[{:(1,-1),(2,3):}]and B=[{:(2,3),(-1,-2):}]`, then which of the following is/are correct ?
1. `AB(A^(-1)B^(-1))` is a unit matrix.
2. `(AB)^(-1)=A^(-1)B^(-1)`
Select the correct answer using the code given below :

If A=[{:(1,-1),(2,3):}] and B=[{:(2,3),(-1,-2):}] then which of the following is/are correct ? 1. AB (A^(-1)B^(-1)) is a unit matrix. 2. (AB)^(-1)=A^(-1)B^(-1) Select the correct answer using the codes given below :

If A=[[1,-12,3]] and B=[[2,3-1,-2]], then which of the following is/are correct? 1.AB(A^(-1)B^(-1)) is a unit matrix.2.(AB)^(-1)=A^(-1)B^(-1)

If A=[{:(1,1,-1),(2,-3,4),(3,-2,3):}]and B=[{:(-1,-2,-1),(6,12,6),(5,10,5):}] then which of the following is/are correct ? 1. A and B commute. 2. AB is a null matrix. Select the correct answer using the code given below :

A=[{:(3,1),(0,4):}]and B = [{:(1,1),(0,2):}] , then which of the following is/are correct ? I. AB is defined II. BA is defined III. AB = BA Select the correct answer using the codes given below.

If A=[{:(3,1),(0,4):}] and B = [{:(1,1),(0,2):}] , then which of the following is/are correct ? I. AB is defined II. BA is defined III. AB=BA Select the correct answer using the code given below :

If A is an orthogonal matrix of order 3 and B = [{:(1,2,3),(-3,0,2),(2,5,0):}] , then which of the following is/are correct ? 1. |AB|= +- 47 2. AB = BA Select the correct answer using the code given below :

IF A=pi//6 and B=pi//3 then which of the following is/are correct? 1. sinA+sinB=cos A+cos B 2. tanA+ tan B=cot A+ cot B Select the correct answer using the code given below:

If a+b+c=0, then which of the following are correct? 1. a^(3) + b^(3) + c^(3) = 3abc 2. a^(2) + b^(2) + c^(2) = -2(ab + bc + ca) 3. a^(3) + b^(3) + c^(3) = -3ab(a+b) Select the correct answer using the code given below

Let A and B be two matrices such that AB = A and BA = B. Which of the following statements are correct ? 1. A^(2) = A 2. B^(2)=B 3. (AB)^(2)=AB Select the correct answer using the code given below :

If P(A cup B) = (5)/(6), P (A cap B) = (1)/(3) and P(barA) =(1)/(2) , then which of the following is/are correct? 1. A and B are independent events. 2. A and B are mutually exclusive events. Select the correct answer using the code given below.