Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let A be a 
real matrix with entries from 
and 
. Consider the following two statements:
If 
, then 
If 
, then 
,
where 
denotes 
identity matrix and 
denotes the sum of the diagonal entries A. Then:
A
is true and 
is false.
B
Both 
and 
are false.
and are false.
C
Both 
and 
are true.
and are true.
D
is false and 
is true.
Text Solution
Verified by ExpertsThe correct answer is:
D
JEE Main 2020
Let 
, where 
or 1 and 
or 1
So possible values of 
are 1, 0 or 
If 
then 
is either 0 or 
If 
then 
and 
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