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Re: Understanding matrices intuitively, part 2, eigenvalues and eigenvectors

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I have two questions:

1. Lets say Ax = y, after transform what happens to the points which
doesn't lie on eigen axes? If the point lies on eigen axes then the
maximum values after transform depends on the eigen value. But, how to
theoretically calculate what will be the maximum value the other points
can reach after transforming?

2. Does eigen vectors exist for Discrete cosine transform (DCT) matrices?

Regards, -ben


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