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I am trying to figure out why dim(colA) = dim(row A), where col A is the column space of A and row A is the row space of A.

Could someone please help me! Thank you!!

  • 0
    Try to show that rank of $A$ and it transpose $A^t$ is the same. This may help.2012-09-17
  • 0
    The canonical approach is by reducing a matrix to [row echelon form](http://en.wikipedia.org/wiki/Row_echelon_form).2012-09-18

2 Answers 2