The number of all
matrices,
, with enteries from the set
such that the sum of the diagonal elements of
is 3 , is(Matrices)
The number of all matrices, , with enteries from the set such that the sum of the diagonal elements of is 3 , is(Matrices)
Asked by Shiksha User
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1 Answer
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Let A=[a?]?. tr(AA?)=3.
Σa?² = 3.
Possible cases for non-zero elements are (1,1,1) or (-1,-1,-1) or (1,1,-1) etc.
Total combinations = ?C? × 2³ = 84 × 8 = 672.C? × 2³ = 84 × 8 = 672.
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