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Considere as matrizes
A = \left[\begin {array}{c} 1\\ 2\\ 0\end {array} \right] ,
B = \left[\begin {array}{c} 2\\ -1\\ 1\end {array} \right] e
C = \left[\begin {array}{c} 0\\ 3\\ 5\end {array} \right] .
Existem números \alpha e
\beta tais que
C= \alpha A + \beta B (ou seja,
C é combinação linear de
A e
B . )