Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
and
be a matrix such that
. Then the sum of the diagonal elements of
is equal to
.
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)
A is skew-symmetric (
).
From
:
.
.
Since
is skew-symmetric,
and
commute:
.
.
Trace of
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
For the matrices and , if , then among the following which one is true?
Let , where A is a matrix. If , then is equal to .
Let and be two matrices such that . Then the sum of all the elements of is _______.
Let and . If and be such that , then is equal to
Let and be two square matrices of order 3 such that and . Then the value of is:
If is a solution of the system of equations , where adj and , then is equal to :