Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If A = 
and I is identity matrix of order 2 then
A
I + A = (I –A) 
and
and
B
I – A = (I + A) 
are not true
are not true
C
I + A = (I – A) 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(c, d)
If α = π /2 then A = 
I + A = 
+ 
= 
I – A = 
– 
= 
R.H.S.= 
= 
≠ I – A
⇒ choice is false.
is also incorrect.
R.H.S. = 
= 
= I + A
= L.H.S.
If choice is coming out to be true as a special case then only one choice is true which is . Since more than one answer should be correct should also be true. We can prove in general
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