Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let S be the set containing all 3 x 3 matrices with entries from {-1, 0, 1}. The total number of matrices A 
S such that the sum of all the diagonal elements of A T A is 6 is_________.
Text Solution
Verified by ExpertsThe correct answer is:
5376
(5376)
Now given a 2 + d 2 +g 2 +b 2 +e 2 +h 2 +c 2 +f 2 +i 2 =6
= 9 C 3 x 2 6
= 5376
The characteristic equation for A is |A - 
I| = 0
Put 
On comparison
& 
and 
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