Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let M be a 3 × 3 matrix satisfying
M 
= 
, M 
= 
, and M 
= 
. Then the sum of the diagonal entries of M is
Text Solution
Verified by ExpertsThe correct answer is:
9
(9)
Sol. Let M = 
then a 12 = –1, a 11 – a 12 = 1 ⇒ a 11 = 0, a 11 + a 12 + a 13 = 0 ⇒ a 13 = 1
a 22 = 2 , a 21 – a 22 = 1 ⇒ a 21 = 3, a 21 + a 22 + a 23 = 0 ⇒ a 23 = –5
a 32 = 3 , a 31 – a 32 = –1 ⇒ a 31 = 2, a 31 + a 32 + a 33 = 12 ⇒ a 33 = 7
Hence sum of diagonal of M is = a 11 + a 22 + a 33 = 0 + 2 + 7 = 9
──────────────────────────────────────────────────────────────────────────────────────────
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
Let be the set of all 3 × 3 symmetric matrices all of whose entries are either 0 or 1. Five of the…
Let p be an odd prime number and T p be the following set of 2 × 2 matrices :
T p =
(i) The number…
The number of all possible values of θ , where 0 < θ < π , for which the system of equations
(y + z…
Let k be a positive real number and let
A = and B = . If det (adj A) + det (adj B) = 10 6 , then …
Let M and N be two 2n × 2n non-singular skew-symmetric matrices such that MN = NM. If P T denotes t…
Let a, b and c be three real numbers satisfying
[a b c] = [0 0 0] ...........(E)
(i) If the point …