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**1. Homework Statement**

Determine whether the given vector functions are linearly dependent or independent on the interval [tex](-\infty, \infty)[/tex]

[tex]\begin{pmatrix} t \\ 3 \end{pmatrix}, \begin{pmatrix} 4 \\ 1 \end{pmatrix}[/tex]

**2. Homework Equations**

**3. The Attempt at a Solution**

I computed the wronskian to be t-12. Since the wronskian is 0 at t=12, shouldn't this be linearly dependent? The book says that this is linearly independent. Why is that?