I just read on wikipedia that one result of the fundamental theorem of linear algebra is that the column rank is always equal to the row rank. In other words the number of independent columns is always going to be equal to the number of independent rows. But for the following matrix

[3 4 5 8

0 1 5 5

0 0 2 2]

The last column is the sum of the first and third column, however, the rows seem independent... Could somebody explain this to me please?

Regards.