(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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. Relevant 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?

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# Homework Help: Why is this linearly independent?

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