Commande DVS

DVS({{1,2},{3,4}})

retourne la liste {{{-0.4,-0.91},{-0.91,0.4}},{{5.46,0},{0,0.37}},{{-0.58,0.82},{-0.82,-0.58}}} correspondant aux 3 matrices $Ma= \left(\begin{array}{rr}-0.4&-0.91\\-0.91&0.4\\\end{array}\right)$, $Mb=\left(\begin{array}{rr}5.46&0\\0&0.37\\\end{array}\right)$ et $Mc = \left(\begin{array}{rr}-0.58&0.82\\-082&-0.58\\\end{array}\right)$ telles que Ma * Mb * Transposer(Mc) redonne la matrice de départ $\left(\begin{array}{rr}1&2\\3&4\\\end{array}\right)$.

La "présentation" des résultats entre Algèbre et Calcul formel peut différer, ainsi DVS({{3, 1, 1}, {-1, 3, 1}}) retourne dans CAS $\left(\begin{array}{rr}-0.71&0.71\\0.71&0.71\\\end{array}\right)$, $\left(\begin{array}{rr}3.16&0\\0&3.46\\\end{array}\right)$, $\left(\begin{array}{rr}-0.89&0.41\\0.45&0.82\\0&0.41\\\end{array}\right)$, alors que la liste retournéeen Algèbre est {{{0.71,0.71}, {0.71,-0.71}}, {{3.46,0}, {0,3.16}}, {{0.41,0.89}, {0.82,-0.45}, {0.41,0}}} correspondant à $\left(\begin{array}{rr}0.71&0.71\\0.71&-0.71\\\end{array}\right)$, $\left(\begin{array}{rr}3.46&0\\0&3.16\\\end{array}\right)$, $\left(\begin{array}{rr}0.41&0.89\\0.82&-0.45\\0.41&0\\\end{array}\right)$.