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is dim(S) = n?
Oct 03
What is the dimension of the universe that we live in?
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What is the dimension of the universe that we live in?
Oct 03
Can we say that the number of independent directions that the space S spans to be the dimension of S?
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Can we say that the number of independent directions that the space S spans to be the dimension of S?
Oct 03
What is the dimension of S?
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What is the dimension of S?
Oct 03
Vector Space S = { y varepsilon R^m | y = Ac, c varepsilon R^n }
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Vector Space S = { y varepsilon R^m | y = Ac, c varepsilon R^n }
Oct 03
Show linear vector space using matrix-vector multiplication. y = AC = [a1 a2 a3…an] * [c1 c2 c3 …. cn]. [c1 c2 c3 …. cn] is in column form
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Show linear vector space using matrix-vector multiplication. y = AC = [a1 a2 a3…an] * [c1 c2 c3 …. cn]. [c1 c2 c3 …. cn] is in column form
Oct 03
Define/describe Linear vector space in terms of the vectors [a_1, a_2, …., a_n]
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Define/describe Linear vector space in terms of the vectors [a_1, a_2, …., a_n]
Oct 03
Give more rigorous mathematical notation of Linear Vector Space.
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Give more rigorous mathematical notation of Linear Vector Space.
Oct 03
In the above case, if x is a vector in S, does cx belong to S? c is in R
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In the above case, if x is a vector in S, does cx belong to S? c is in R
Oct 03
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 and y are vectors in S, Does x + y belong to S?
