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Mathematics

2 answers:

marta [7]3 years ago

7 0

Answer: Its long division

Step-by-step explanation: The key word "per" let's you know that it's divided indivisually between each person.

anastassius [24]3 years ago

6 0

Answer: He can take 6 friends.

Step-by-step explanation:4,000 divided by 637 is 6.29. There can not be part of a person so we round down to 6.

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g Question 11 pts A set of three vectors in R 4 could possibly be a linearly independent set of vectors. can never span R 4. can

cricket20 [7]

Answer:

Step-by-step explanation:

We will solve this questions using some dimensionality analysis.

a) Note that $\mathbb{R}^4$ is a vector space of dimension 4. So, given a set of three vectors, they could be or could not be linearly independent. However, if they were, they would not span $\mathbb{R}^4$ since in order for us to span $\mathbb{R}^4$ we need 4 or more vectors. Since a set of three vector cannot span this space, they automatically cant be a basis for $\mathbb{R}^4$ .

b) $\mathbb{R}^3$ has a dimension 3. So, for a set of vectors A to span this space, we need that A contains at least 3 vectors that are linearly independent. So A could have possibly infinite number of vectors as long as there is a subset of A that is composed by 3 linearly independent vectors.