Let $A \in \mathbb{R}^{2 \times 3}$ be a
D4571: Real matrix such that
(i) |
$a_1, a_2, a_3 \in \mathbb{R}^{2 \times 1}$ are each a D5200: Real column matrix
|
(ii) |
\begin{equation}
A
=
\begin{bmatrix}
a_1 & a_2 & a_3
\end{bmatrix}
=
\begin{bmatrix}
1 & 0 & 0 \\
0 & 1 & 1
\end{bmatrix}
\end{equation}
|
Then
(1) |
\begin{equation}
\text{Span}_{\mathbb{R}} \langle a_1, a_2, a_3 \rangle
= \mathbb{R}^{2 \times 1}
\end{equation}
|
(2) |
\begin{equation}
0 \cdot a_1 + 1 \cdot a_2 - 1 \cdot a_3
= \boldsymbol{0}
\end{equation}
|