Question 3 (a) Let E = {e1, e2, e3, e4} be the standard basis of R' and let ) --O --0 9. and V4 = 10 V3 3 12, Consider a function F : R → Rª that maps vi to e1, v2 to e2, v3 to e3, and v4 to e4. Explain why F cannot be a linear transformation.

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Question 3
(a) Let E = {e1, e2, e3, e4} be the standard basis of R' and let
()
2
1
Vị =
V2
V3
and
V4 =
1
3
1
10
12,
Consider a function F : Rª → Rª that maps vị to e1, v2 to e2, v3 to e3, and v4 to e4.
Explain why F cannot be a linear transformation.
Transcribed Image Text:Question 3 (a) Let E = {e1, e2, e3, e4} be the standard basis of R' and let () 2 1 Vị = V2 V3 and V4 = 1 3 1 10 12, Consider a function F : Rª → Rª that maps vị to e1, v2 to e2, v3 to e3, and v4 to e4. Explain why F cannot be a linear transformation.
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