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Suppose we have a finite-dimensional vector space V with su

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Suppose we have a finite-dimensional vector space V with subspaces…Suppose we have a finite-dimensional vector space V with subspaces M and N. Consider the map T : M x N ? V with the definition T(M, N) = M – N1) Show that T is linear2) Show that rangeT ? N N3) Show dim(rangeT) is less than or equal to dimM dimNMath Linear Algebra MATH 121a

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