Category: Root

Can we say that the number of independent directions that the space S spans to be the dimension of S?

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What is the dimension of the universe that we live in?

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is dim(S) = n?

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What is the dimension of a plane?

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If we take one more vector orthogonal to the plane, then what will be the dimension?

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Define/describe Linear vector space in terms of the vectors [a_1, a_2, …., a_n]

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In the above case, if x and y are vectors in S, Does x + y belong to S?

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In the above case, if x is a vector in S, does cx belong to S? c is in R

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Give more rigorous mathematical notation of Linear Vector Space.

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What do you mean by the concept of vector space?

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