The number of all matrices A, with enteries from the set
such that the sum of the diagonal elements of
is 3, is
Option: 1 672
Option: 2 512
Option: 31024
Option: 4 256
Let matrix A be
So out of 9 elements, 3 elements must be equal to 1 or −1, and the rest elements must be 0.
Possible cases
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