Solution Found!
In Exercises 10 through 20, use paper and pencil to identify the redundant vectors. Thus
Chapter 3, Problem 10(choose chapter or problem)
In Exercise, use paper and pencil to identify the redundant vectors. Thus determine whether the given vectors are linearly independent.
\(\left[\begin{array}{l}
2 \\
1
\end{array}\right],\left[\begin{array}{l}
6 \\
3
\end{array}\right]\)
Questions & Answers
QUESTION:
In Exercise, use paper and pencil to identify the redundant vectors. Thus determine whether the given vectors are linearly independent.
\(\left[\begin{array}{l}
2 \\
1
\end{array}\right],\left[\begin{array}{l}
6 \\
3
\end{array}\right]\)
Step 1 of 2
We want to find out if the given vectors are linearly dependent by finding the redundant vectors. To do this we will let:
\(\overrightarrow{v_{1}}=\left[\begin{array}{l}
2 \\
1
\end{array}\right] \text { and } \overrightarrow{v_{2}}=\left[\begin{array}{l}
6 \\
3
\end{array}\right]\)
If one is dependent we can write \(\overrightarrow{v_{2}}=c_{2} \vec{v}_{1}\)