Normalizing an Eigenvector to Have Unit Length

Normalizing an Eigenvector to Have Unit Length
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I worked out a problem where one of the eigenvectors is $(1+ \sqrt{2}, 1)$. How do I normalize this vector? Should I use approximate values?

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1 Answer

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There's no need to use approximate values. You have all the exact values you need to normalize the vector.

Here's the general formula for normalizing a vector: If $v$ is the non-zero vector $(a,b)$, then the normalized vector $v$ is

$$\frac{1}{\sqrt{a^2+b^2}}(a,b).$$

What do you get?

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Elena Rostova
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Elena Rostova

Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.