b***k
发帖数: 2673 | 1 Given an arbitrary matrix A with dimension m x n,
what is the difference or relationship of A'*A and A*A'?
here A' is transpose of A.
obviousely both of them are symmetric, and they have identical eigenvalues.
but their eigenvectors are different which means eigenspace of both matrix
are distinct, right? | l*3
发帖数: 2279 | | l*3
发帖数: 2279 | | x******a
发帖数: 6336 | 4 eigenvalues的个数都不一样多吧
【在 b***k 的大作中提到】
: Given an arbitrary matrix A with dimension m x n,
: what is the difference or relationship of A'*A and A*A'?
: here A' is transpose of A.
: obviousely both of them are symmetric, and they have identical eigenvalues.
: but their eigenvectors are different which means eigenspace of both matrix
: are distinct, right?
| v*******e
发帖数: 11604 | 5
非0的一样多
【在 x******a 的大作中提到】
: eigenvalues的个数都不一样多吧
| z*********g
发帖数: 37 | 6 Use singular value decomposition,
You can see everything you are asking here. | b***k
发帖数: 2673 | 7 SVD tells me the left singular vector is eigenvector of A*A',
and the right singular vector is eigenvector of A'*A,
but so what?
what do you mean "everything" here?
【在 z*********g 的大作中提到】
: Use singular value decomposition,
: You can see everything you are asking here.
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