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 : 0
Statement-2 : = 1
Statement -1 is true, statement -2 is true ; statement -2 is a correct explanation of statement-1.
Statement -1 is true, statement -2 is true ; statement -2 is not a correct explanation of statement-1.
Statement -1 is true, statement -2 is false.
Statement -1 is false, statement -2 is true.
As we learnt in
Multiplication of matrices -
-
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
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