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## Homework Statement

Hi

If we have a matrix M, we can always make a singular value decomposition. If the matrix has full column rank (= is invertible), then the singular values are all nonzero, otherwise they are not all nonzero.

Now, we can also associate a condition number to a matrix given by

cond(M) = s

_{1}/s

_{k}

where k is min(m, n) (where M is a

*m*times

*n*matrix). If M is rectangular, then it is not invertible, so the condition number should be infinite.

Now, when I find the condition number of a rectangular matrix in MatLAB, it gives me a (large) number, which is finite. How can that be?