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??
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??