Dimensional vector space
Does an 8-dimensional vector space contain linear subspaces V1 , V2 , V3 with no com-mon non-zero element, such thata). dim(Vi) = 5, i = 1, 2, 3? b). dim(Vi) = 6, i = 1, 2, 3?
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Use Chebyshev's Inequality to solve this problem. Show your work. A machine used to fill cereal boxes dispenses on average µ ounces per box.
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