Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
and 
where 
denotes the transpose of the matrix P k . Then which of the following options is/are correct?
A
X - 301 is an invertible matrix
B
X is a symmetric matrix
C
The sum of diagonal entries of X is 18
D
If 
, then 
= 30
, then = 30
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, d, d)
Let 
=X
So X is symmetric matrix
Let 
So, |X - 30I| = 0, has non-trivial solution.
So, not invertible.
Where trace (P k A P' k ) = 3
Trace X = 3x6= 18.
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