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

Using the wronskian (determinant basically), determine if e^x, sin(x), cos(x) are linearly independent

2. Relevant equations

I used this:

[tex]

| e^{x} sin(x) \:cos(x)|[/tex]

[tex]

|e^{x} cos(x) -sin(x)|[/tex]

[tex]|e^{x} -sin(x) -cos(x)|[/tex]

But pretend that's just a 3x3 matrix and you take the determinant of it

3. The attempt at a solution

After finding the determinant I get -2e^x which is never 0 so they're linearly independent. Am I right in this?

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# Homework Help: Linear Independence

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