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The rank of a product of two matrices X and Y is equal to the smallest of the rank of X and Y:

S. A. C. The rank of a product of two matrices X and Y is equal to the smallest of the rank of X and Y:. Rank (X Y) =min (rank (X) , rank (Y)). =. Eigenvectors and Eigenvalues. 0. v. R. I. R. v. = l. - l. v. For a symmetric, real matrix, R , an eigenvector v is obtained from:.

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