SOLVED: Is the given set of vectors a vector space? Give reasons. If your answer is yes, determine the dimension and find a basis (v1, v2, .... denote components).All vectors in R^3 satisfying -(v1) 2(v2) 3(v3) = 0, -4(v1) (v2) (v3) = 0.
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SOLVED:Find the dimension of each of the following vector spaces. (a) The vector space of all diagonal n ×n matrices. (b) The vector space of all symmetric n ×n matrices. (c) The vector space of all upper triangular n ×n matrices.
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