0
answers
0
watching
173
views
6 Nov 2019
Let V In? a finite-dimensional vector space. Let D = {rj V. Consider the following linear function: f : Rn rightarrow V f(a1 , . . . , an) = a, v1 rightarrow + . . . + an vn rightarrow Prove that f is one-to-one and onto. Check that |v rightarrow |B = f-1 (v rightarrow) for any v rightarrow epsilon V. Show transcribed image text
Let V In? a finite-dimensional vector space. Let D = {rj V. Consider the following linear function: f : Rn rightarrow V f(a1 , . . . , an) = a, v1 rightarrow + . . . + an vn rightarrow Prove that f is one-to-one and onto. Check that |v rightarrow |B = f-1 (v rightarrow) for any v rightarrow epsilon V.
Show transcribed image text