A) \[{{a}_{jj}}{{b}_{ij}}\]
B) \[{{a}_{ii}}\,{{b}_{ij}}\]
C) \[{{a}_{ij}}\,{{b}_{ij}}\]
D) \[{{a}_{ij}}\,{{b}_{ji}}\]
Correct Answer: B
Solution :
[b] \[{{c}_{ij}}=\sum\limits_{k=1}^{n}{{{a}_{ik}}{{b}_{kj}}}\] (In general) and in a diagonal matrix non-diagonal elements are zero i.e., \[{{a}_{ij}}=\left\{ \begin{matrix} 0 & if\,i\ne j \\ a{{ & }_{ii}}, & if\,\,i=j \\ \end{matrix} \right.\] So, \[{{c}_{ij}}={{a}_{ii}}{{b}_{ij}}\]
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