# In Exercises 10 through 20, use paper and pencil to identify the redundant vectors. Thus

Chapter 3, Problem 10

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QUESTION:

In Exercise, use paper and pencil to identify the redundant vectors. Thus determine whether the given vectors are linearly independent.

$$\left[\begin{array}{l} 2 \\ 1 \end{array}\right],\left[\begin{array}{l} 6 \\ 3 \end{array}\right]$$

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 $$\overrightarrow{v_{2}}=c_{2} \vec{v}_{1}$$