Question: Consider the spaces V = R and W = Rm equipped with the Euclidean norms. Suppose T = L(R, Rm has the matrix representation

Consider the spaces V = R" and W = Rm equipped with the Euclidean norms. Suppose T = L(R", Rm has the matrix representation T = [a]. Define Show that m n i=1 j=1 ||T||2 := ||TT||2 ||T||2||||2, TER".

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