Important Note : The python notebooks uploaded here are not mine. I have downloaded them from a github profile because I was unable to download my notebooks from Coursera. So all the credits for ipynb files go to https://github.com/launchcode01dl/mathematics-for-machine-learning-cousera (PCA)
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Youtube playlist - https://www.youtube.com/playlist?list=PL93aLKqThq4iDbY_wxfh3WgxkkzqH4aoo
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PCA - https://ucilnica.fri.uni-lj.si/pluginfile.php/892/course/section/510/bishop-pca.pdf
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Definite symmetric matrix - https://en.wikipedia.org/wiki/Definite_symmetric_matrix
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Inner Product - https://users.math.msu.edu/users/gnagy/teaching/05-fall/Math20F/w9-F.pdf
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Orthogonal Projection - https://textbooks.math.gatech.edu/ila/projections.html
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Orthogonal complement - https://en.wikipedia.org/wiki/Orthogonal_complement
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Orthogonal Decomposition - https://mathworld.wolfram.com/OrthogonalDecomposition.html
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Lagrange multiplier - https://en.wikipedia.org/wiki/Lagrange_multiplier