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Linearkombination/(2,5,-3)/By (1,2,3), (0,1,1) and (-1,2,4)/Exercise
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Q
3
{\displaystyle {}\mathbb {Q} ^{3}}
the vector
(
2
,
5
,
−
3
)
{\displaystyle (2,5,-3)}
as a linear combination of the vectors
(
1
,
2
,
3
)
,
(
0
,
1
,
1
)
und
(
−
1
,
2
,
4
)
.
{\displaystyle (1,2,3),(0,1,1){\text{ und }}(-1,2,4).}
Prove that it cannot be expressed as a linear combination of two of the three vectors.
Create a solution