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In Exercises $7-14$ , cither use an appropriate theorem to show that the given set, $W,$ is a vector space, or find a specific example to the contrary. $$\left\{\left[\begin{array}{l}{r} \\ {s} \\ {t}\end{array}\right] : 5 r-1=s+2 t\right\}$$

Not a vector space

Calculus 3

Chapter 4

Vector Spaces

Section 2

Null Spaces, Column Spaces, and Linear Transformations

Vectors

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In mathematics, a vector (…

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In Exercises $7-14$ , cith…

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Let $W$ be the set of all …

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Show that$$S=\left…

huh? Soldiers Problem was sooner. Uh, zero vector isn't w So we're gonna say that Divide your art as G is equal food 000 So this means that our zero s sissy or zero. So let's put those values and given equation. So we have five times your over. Swann is Europe was two times here and here would be found this nature. What? And this is a contract. A contradiction to our first assumption word, your records and w So its mean that this means that, um definitely here is not a some strays off our you, so no, a vector space.

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