If A B=B A=I such that A=[a_{i j}]_{2 \\times2}, B=[b_{i j}]_{2 \\times2}, a_{i i}=b_{i i}, a_{12}=-b_{12}, a_{21}=-b_{21} and a_{i j}are co-prime natural numbers, then |a_{21}-a_{12}|=........

JEE Advanced 2021 Full Test 3 Paper 2

SECTION – B (Single Digit Integer Type)
This section contains 06 questions. The answer to each question is a Single Digit integer ranging from 0 to 9, both inclusive.

Question : 48 of 54

Marks: +1, -0

If AB=BA=I such that A=[aij]2×2,B=[bij]2×2,aii=bii, a12=−b12,a21=−b21 and aijare co-prime natural numbers, then |a21−a12|=........

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a11	a12
a21	a11