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Question Number 11958 by 7991 last updated on 07/Apr/17
$${A}\in{M}_{\mathrm{2016}×\mathrm{2016}} \: \\ $$$${with}\:{the}\:{entries}\:{a}_{{ij}} \left\{_{\mathrm{0},\:{if}\:{i}+{j}\neq\mathrm{2016}} ^{\mathrm{1},\:{if}\:{i}+{j}=\mathrm{2016}} \right. \\ $$$${find}\:{the}\:{determinant}?? \\ $$
Commented by prakash jain last updated on 08/Apr/17
$$\mathrm{Row}\:\mathrm{2016}\:\mathrm{is}\:\mathrm{all}\:\mathrm{0s}. \\ $$$$\mathrm{Hence}\:\mathrm{determinant}\:=\mathrm{0}. \\ $$