Potrebujem nájsť všetky matice A typu 2x3 ,pre ktoré platí
{fA(x)=o}={s(2,0,1)^T +t(0,2,1)^T } a zároveň {fA(x)}={t(1,4)^T }
Zatiaľ som sa dostala po myšlienku, že po Gaussovej eliminácii musí mať takáto matica jeden nulový riadok. A násobok nenulového riadku s vektorom (2,0,1) sa bude rovnať nule. Čož platí aj pre vektor (0, 2, 1).
Je toto prosím správna úvaha? A ako ďalej?
Ďakujem za každú odpoveď.
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