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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

Answers (1)

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