# Directions : Question is Assertion - ­Reason type. This question 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 A be a 2 × 2 matrix with real entries. Let $I$ be the 2 × 2 identity matrix. Denote by $tr(A)$ , the sum of diagonal entries of $A$ . Assume that $A^{2}=I$.Statement - 1 :  If  $A\neq I\; and\; A\neq -I,then\; det\; A=-1.$Statement - 2 : If $A\neq I\; and\; A\neq -I,then\; tr(A)\neq 0$ Option 1) Statement -1 is true, Statement­-2 is false Option 2) Statement-­1 is false, Statement­-2 is true ; Option 3) Statement­-1 is true, Statement­-2 is true Statement­-2 is a correct explanation for Statement­-1 Option 4) Statement­-1 is true, Statement­-2 is true Statement-­2 is not a correct explanation for Statement­-1

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