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  cross-product.  This is formally equivalent to (but faster than) the call
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  cross-product.  This is formally equivalent to (but faster than) the call
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  \code{t(x) \%*\% y} (\code{crossprod}) or
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  \code{t(x) \%*\% y} (\code{crossprod}) or
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  \code{x \%*\% t(y)} (\code{tcrossprod}).
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  \code{x \%*\% t(y)} (\code{tcrossprod}).
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  These are generic functions since \R 4.4.0: methods can be written
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  These are generic functions since \R 4.4.0: methods can be written
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  individually or via the \code{\link[=S3groupGeneric]{matOps}} group
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  individually or via the \code{\link[=S3groupGeneric]{matrixOps}} group
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  generic function; it dispatches to S3 and S4 methods.
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  generic function; it dispatches to S3 and S4 methods.
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}
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}
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\usage{
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\usage{
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 crossprod(x, y = NULL, \dots)
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 crossprod(x, y = NULL, \dots)
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tcrossprod(x, y = NULL, \dots)
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tcrossprod(x, y = NULL, \dots)