I want a matrix W of size nxk (where n>>k) with the following two properties:(adsbygoogle = window.adsbygoogle || []).push({});

1. Sum of all elements of each row is equal to one, i.e. [itex]\sum[/itex]_{j}w_{ij}= 1 for all i.

2. Sum of squares of all elements of each column is equal to one, i.e. [itex]\sum[/itex]_{i}w_{ij}^{2}= 1 for all j.

Is such a matrix possible? Any hint at how to prove one way or the other would be appreciated. Thanks in advance.

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# Is such a matrix possible?

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