I wonder if this kind of questions are ok in this list...
What does it mean than the rank of the QR decomposition of a NxN matrix is N-1 ?
m: NxN matrix
qr(m)$rank equal to (N-1)
I'm doing a manova on a matrix of 10 variables and 16 observations.
 16 10
> fit <- manova( tmp ~ treatment*mouse )
>results <- summary(fit,test="Wilks")
residuals have rank 9 < 10
So the QR decomposition returns with a rank of 9. What does this mean ?
Does this necessarily mean a linear dependency among the columns of the matrix ?
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