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6. If A laysuch that ay (i j then find trace of A.

Answer»

The trace of a matrix is sum of its diagonal element for that i = j

so the first element will be aij = (i+j)² = (2i)² = 4 the second element of trace is = (2+2)² = 16the third element of trace will be (3+3)² = 36

so, the trace = sum of all even no. squares => 2n(n+1)(2n+1)/3.



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