Show that the functions $\{1 + 2t, 3 − 2t, −1 + 7t\}$ are linearly dependent by writing one of these functions as a linear combination of the other two
Show that the functions ${1 + 2t, 3 − 2t, −1 + 7t}$ are linearly dependent by writing one of these functions as a linear combination of the other two
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linear-algebra
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2Would you be more comfortable writing one of the vectors $(1,2)$, $(3,-2)$, and $(-1,7)$ as a linear combination of the other two? It is effectively the same problem. – 2012-03-29
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0Just a sidenote (and maybe not relevant for you): When saying that something are linearly dependent, you have to say "over what". In this case, your functions are linearly dependent over $\mathbb{R}$, the real numbers. – 2012-03-29