które z wektorów należą do podprzestrzeni
: 29 cze 2007, o 19:05
Sprawdzić, które spośród wektorów:
\(\displaystyle{ \left[\begin{array}{c}6\\4\\11\\23\\-5\end{array}\right], \,\left[\begin{array}{c}4\\-1\\9\\33\\29\end{array}\right],\left[\begin{array}{c}10\\13\\20\\56\\-34\end{array}\right],\left[\begin{array}{c}12\\-3\\27\\9\\-87\end{array}\right],\left[\begin{array}{c}-2\\16\\-7\\-47\\53\end{array}\right],\left[\begin{array}{c}-8\\2\\-18\\-6\\5\end{array}\right]}\)
należą do podprzestrzeni:
\(\displaystyle{ lin\Bigg(\left[\begin{array}{c}1\\1\\1\\3\\5\end{array}\right],\left[\begin{array}{c}1\\2\\3\\4\\5\end{array}\right],\left[\begin{array}{c}1\\-1\\-5\\3\\5\end{array}\right]\Bigg)\subset Q^{5}}\)
\(\displaystyle{ \left[\begin{array}{c}6\\4\\11\\23\\-5\end{array}\right], \,\left[\begin{array}{c}4\\-1\\9\\33\\29\end{array}\right],\left[\begin{array}{c}10\\13\\20\\56\\-34\end{array}\right],\left[\begin{array}{c}12\\-3\\27\\9\\-87\end{array}\right],\left[\begin{array}{c}-2\\16\\-7\\-47\\53\end{array}\right],\left[\begin{array}{c}-8\\2\\-18\\-6\\5\end{array}\right]}\)
należą do podprzestrzeni:
\(\displaystyle{ lin\Bigg(\left[\begin{array}{c}1\\1\\1\\3\\5\end{array}\right],\left[\begin{array}{c}1\\2\\3\\4\\5\end{array}\right],\left[\begin{array}{c}1\\-1\\-5\\3\\5\end{array}\right]\Bigg)\subset Q^{5}}\)