Question

Consider the following vectors. \begin{equation} v = \begin{bmatrix} 3 \\ 8 \\ 3 \end{bmatrix}, \quad \mathbf{u}_1 = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}, \quad \mathbf{u}_2 = \begin{bmatrix} 0 \\ 1 \\ 1 \end{bmatrix} \end{equation} Give the corresponding linear combination. (If an answer does not exist, enter DNE.) v = (\text{_____})\mathbf{u}_1 + (\text{_____})\mathbf{u}_2 Is the vector \(\mathbf{v}\) a linear combination of the vectors \(\mathbf{u}_1\) and \(\mathbf{u}_2\)? The vector \(\mathbf{v}\) is a linear combination of \(\mathbf{u}_1\) and \(\mathbf{u}_2\). The vector \(\mathbf{v}\) is not a linear combination of \(\mathbf{u}_1\) and \(\mathbf{u}_2\).

          Consider the following vectors.
\begin{equation*}
v = \begin{bmatrix} 3 \\ 8 \\ 3 \end{bmatrix}, \quad \mathbf{u}_1 = \begin{bmatrix} 1 \\ 1 \\ 0 \end{bmatrix}, \quad \mathbf{u}_2 = \begin{bmatrix} 0 \\ 1 \\ 1 \end{bmatrix}
\end{equation*}
Give the corresponding linear combination. (If an answer does not exist, enter DNE.)
v = (\text{_____})\mathbf{u}_1 + (\text{_____})\mathbf{u}_2
Is the vector \(\mathbf{v}\) a linear combination of the vectors \(\mathbf{u}_1\) and \(\mathbf{u}_2\)?
The vector \(\mathbf{v}\) is a linear combination of \(\mathbf{u}_1\) and \(\mathbf{u}_2\).
The vector \(\mathbf{v}\) is not a linear combination of \(\mathbf{u}_1\) and \(\mathbf{u}_2\).

Consider the following vectors.

v =
< b m a t r i x >
, 𝐮1 =
< b m a t r i x >
, 𝐮2 =
< b m a t r i x >

Give the corresponding linear combination. (If an answer does not exist, enter DNE.)
v = ()𝐮1 + ()𝐮2
Is the vector 𝐯 a linear combination of the vectors 𝐮1 and 𝐮2?
The vector 𝐯 is a linear combination of 𝐮1 and 𝐮2.
The vector 𝐯 is not a linear combination of 𝐮1 and 𝐮2.

Added by Juan Carlos W.

Question

Please give Ace some feedback