Question Number 94742 by I want to learn more last updated on 20/May/20
Commented by I want to learn more last updated on 20/May/20
$$\mathrm{1}.\:\:\:\mathrm{let}\:\:\mathrm{A}\:\:=\:\:\left(\mathrm{a}_{\mathrm{ij}} \right)\:\mathrm{be}\:\mathrm{n}\:×\:\mathrm{n}\:\mathrm{matrix}.\:\mathrm{if}\:\:\mathrm{a}_{\mathrm{ij}} \:\:=\:\:\mathrm{0}\:\mathrm{for}\:\mathrm{some} \\ $$$$\mathrm{i}\:\mathrm{and}\:\mathrm{for}\:\mathrm{all}\:\mathrm{j}.\mathrm{prove}\:\mathrm{that}\:\mathrm{det}\left(\mathrm{A}\right)\:\:=\:\:\mathrm{0} \\ $$