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R to R^3/(2,3,4) and (5,-2,-1)/Affine-linear mapping/Exercise
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Determine the affine-linear map
α
:
R
⟶
R
3
{\displaystyle \alpha \colon \mathbb {R} \longrightarrow \mathbb {R} ^{3}}
such that
α
(
0
)
=
(
2
,
3
,
4
)
{\displaystyle {}\alpha (0)=(2,3,4)}
and
α
(
1
)
=
(
5
,
−
2
,
−
1
)
{\displaystyle {}\alpha (1)=(5,-2,-1)}
.
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