Δραστηριότητες 7Α
1. Ποιά από τα ακόλουθα σύνολα διανυσμάτων αποτελούν βάση του αντίστοιχου χώρου
1.
\(\left\{ \left[\begin{array}{r}1\\0\end{array}\right],\,
\left[\begin{array}{r}0\\1\end{array}\right]\right\}\) του χώρου
\(\mathbb{R}^2\).
2. \(\left\{ \left[\begin{array}{r}1\\0\\0\end{array}\right],\, \left[\begin{array}{r}0\\1\\0\end{array}\right]\right\}\) του υπόχωρου \(V = \left\langle \left[\begin{array}{r}0\\1\\0\end{array}\right],\, \left[\begin{array}{r}1\\0\\0\end{array}\right]\right\rangle \subseteq \mathbb{R}^3\).
3. \(\left \{ \left[\begin{array}{r}1\\2\\3\end{array}\right],\, \left[\begin{array}{r}1\\0\\3\end{array}\right],\, \left[\begin{array}{r}0\\1\\0\end{array}\right]\right\}\) του \(\mathbb{R}^3\).
2. \(\left\{ \left[\begin{array}{r}1\\0\\0\end{array}\right],\, \left[\begin{array}{r}0\\1\\0\end{array}\right]\right\}\) του υπόχωρου \(V = \left\langle \left[\begin{array}{r}0\\1\\0\end{array}\right],\, \left[\begin{array}{r}1\\0\\0\end{array}\right]\right\rangle \subseteq \mathbb{R}^3\).
3. \(\left \{ \left[\begin{array}{r}1\\2\\3\end{array}\right],\, \left[\begin{array}{r}1\\0\\3\end{array}\right],\, \left[\begin{array}{r}0\\1\\0\end{array}\right]\right\}\) του \(\mathbb{R}^3\).
Last modified: Monday, 29 February 2016, 10:52 AM