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Find a basis for the set of vectors in $\mathbb{R}^{2}$ on the line $y=5 x$

$\left\{\left[\begin{array}{l}{1} \\ {5}\end{array}\right]\right\}$

Calculus 3

Chapter 4

Vector Spaces

Section 3

Linearly Independent Sets; Bases

Vectors

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in this problem where has to find the basis or it's set up like there's all this given line Why is you find so we're actually time we sold the system off eggs is zero and we don't in This problem we don't know are a metrics and it actually doesn't matter. Solis This year, ese cooked a be and we have an extractor and that is all thanks. And what? So what we know is this We know that buys you five so we can write. This one is thanks. And then that will be cooked eggs one fire. So this means that we have a times Thanks. 15 is zero. It's unique to that should be good to zero. So this system giving here 15 this factor is actually the basis vector that lies on this line wise. You got five minutes

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