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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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The statement we need to prove is that the norm of Tx with respect to the Euclidean norm is less tha...
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Linear Algebra
Authors: Jim Hefferon
1st Edition
978-0982406212, 0982406215
