Question Number 54937 by gunawan last updated on 14/Feb/19
$$\mathrm{If}\:{A}\:\mathrm{matrices}\:\mathrm{order}\:\mathrm{1999}×\mathrm{2006}, \\ $$$$\mathrm{then}\:\mathrm{minimal}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{rank}\left({A}\right)+{null}\left({A}\right) \\ $$$$ \\ $$
Answered by kaivan.ahmadi last updated on 15/Feb/19
$${we}\:{know}\:{that}\:{if}\:{A}\:{is}\:{m}×{n}\:{matrix}\:{then} \\ $$$$\:\:\:\:\:\:\:{rankA}+{dim}\:{NulA}={n} \\ $$$${so}\:{in}\:{this}\:{quiestion}\: \\ $$$${rankA}+{dim}\:{NulA}=\mathrm{2006} \\ $$