Ok, so I need to do the following:

Let A be an invertible n by n matrix and let {v1, ..., vn} be a basis for R^n. Prove that {Av1, ..., Avn} is also a basis for R^n.

Any ideas on how I could go about doing this??

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- Mar 23rd 2010, 04:59 PMcrymorenoobsMatrix proof involving invertibility and bases
Ok, so I need to do the following:

Let A be an invertible n by n matrix and let {v1, ..., vn} be a basis for R^n. Prove that {Av1, ..., Avn} is also a basis for R^n.

Any ideas on how I could go about doing this?? - Mar 23rd 2010, 08:25 PMtonio
- Mar 23rd 2010, 09:14 PMcrymorenoobs
Oh ok, thanks so much!