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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Originally Posted by crymorenoobs 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?? You only need to show that is lin. indep.: For the definition field , . Now, since is invertible we have that , and then use that is a basis ... Tonio
Oh ok, thanks so much!
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