Determine whether the vectors $v_{1} = (0, 0)$ and $v_{2} = (0, 0)$ are linearly independent or dependent.

Answer

The vectors are linearly dependent.

Explanation

To check if two vectors are dependent we solve the determinant:

D = 0000 = 0 \cdot 0 - 0 \cdot 0 = 0 - 0 = 0

Since $D = 0$ we conclude that $v_{1}$ and $v_{2}$ are linearly dependent.

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Determine whether the vectors v1​​=(0, 0) and v2​​=(0, 0) are linearly independent or dependent.

The vectors are linearly dependent.

Determine whether the vectors $v_{1} = (0, 0)$ and $v_{2} = (0, 0)$ are linearly independent or dependent.