#### Directions : Question are Assertion- Reason type questions. Each of these questions contains two statements. 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:Question : Let be a 2 × 2 matrix with non-zero entries and let    where is 2 × 2 identity matrix.   Define          sum of diagonal elements of  and = determinant of matrix .Statement-1 : 0Statement-2 : = 1 Option 1) Statement -1 is true, statement -2 is true ; statement -2 is a correct explanation of statement-1. Option 2) Statement -1 is true, statement -2 is true ; statement -2 is not a correct explanation of statement-1. Option 3) Statement -1 is true, statement -2 is false. Option 4) Statement -1 is false, statement -2 is true.

As we learnt in

Multiplication of matrices -

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Option 1)

Statement -1 is true, statement -2 is true ; statement -2 is a correct explanation of statement-1.

Incorrect Option

Option 2)

Statement -1 is true, statement -2 is true ; statement -2 is not a correct explanation of statement-1.

Incorrect Option

Option 3)

Statement -1 is true, statement -2 is false.

Correct Option

Option 4)

Statement -1 is false, statement -2 is true.

Incorrect Option