# Dimension problem

• April 16th 2008, 01:54 PM
Dimension problem
Let A be an nxn matrix. Prove that $dim(span( \{ I_n ,A,A^2... \} )) \leq n$
• April 17th 2008, 12:08 AM
Opalg
Quote:

Let A be an nxn matrix. Prove that $\dim(\text{span}( \{ I_n ,A,A^2... \} )) \leq n$