<p>Here is a detailed mathematical explanation:
<a href="https://arxiv.org/abs/1804.10253" rel="nofollow noreferrer">https://arxiv.org/abs/1804.10253</a></p>

<p>This paper also shows that using a linear autoencoder, it is possible not only to compute the subspace spanned by the PCA vectors, but it is actually possible to compute the principal components themselves.</p>
How is a linear autoencoder equal to PCA?
<p>I would like the mathematical proof of it. does anyone know a paper for it. or can workout the math?</p>