Question

3. Write $\vec{v}$ as a linear combination of $\vec{u}$ and $\vec{w}$, where $\vec{u} = \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ and $\vec{w} = \begin{bmatrix} 1 \\ -1 \end{bmatrix}$. \\ Show that your linear combination is equal to $\vec{v}$ by checking your work. \\ $\vec{v} = \begin{bmatrix} 3 \\ 0 \end{bmatrix}$

          3. Write \(\vec{v}\) as a linear combination of \(\vec{u}\) and \(\vec{w}\), where \(\vec{u} = \begin{bmatrix} 1 \\ 2 \end{bmatrix}\) and \(\vec{w} = \begin{bmatrix} 1 \\ -1 \end{bmatrix}\). \\ Show that your linear combination is equal to \(\vec{v}\) by checking your work. \\ \(\vec{v} = \begin{bmatrix} 3 \\ 0 \end{bmatrix}\)

3. Write v⃗ as a linear combination of u⃗ and w⃗, where u⃗ =
< b m a t r i x > and w⃗ =
< b m a t r i x >.
Show that your linear combination is equal to v⃗ by checking your work.
v⃗ =
< b m a t r i x >

Added by Joshua J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Anderson Gomes Da Silva

02/10/2022

Step 1

Step 1: We want to find scalars $a$ and $b$ such that $\vec{v} = a\vec{u} + b\vec{w}$. Show more…

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Thanks for your feedback!

3. Write $\vec{v}$ as a linear combination of $\vec{u}$ and $\vec{w}$, where $\vec{u} = \begin{bmatrix} 1 \\ 2 \end{bmatrix}$ and $\vec{w} = \begin{bmatrix} 1 \\ -1 \end{bmatrix}$. Show that your linear combination is equal to $\vec{v}$ by checking your work. $\vec{v} = \begin{bmatrix} 3 \\ 0 \end{bmatrix}$