If $$A=aij4$$×$$4$$ such that $$aij=(i+j)2$$ then find trace of A.

Operations of matrix

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Question

If $A = {[a_{ij}]}_{4 \times 4}$ such that $a_{ij} = (i + j)^{2}$ then find trace of A.

Easy

Solution

$a_{ij} = (i + j)^{2}$
$t r a c e o f A = 2^{2} + 4^{2} + 6^{2} + 8^{2} = 120$

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