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it veetors délfhed above 2) Find the length of vector i-2 3 s 3) Let u--3 v 3 2l, and w [5 -1l 2 a) Treating u, v, and w, as vectors, are the inner products uw, v,u, and 1.w, defined? If yes, compute them. If any of them is not defined, explain why not. b) Treating u,v, and w as matrices, are the products n, pu and zm defined? If yes, compute them. If any of them is not defined, explain why not 4) If A and B are mu matrices and k and t are real numbers, prove that a) (A + B)k= Ak + Bk b) A(k + t) Ak + At Note that to prove the result you cannot use specific examples. (HINT representative element notation for the matrices.) : Use the that Amust also be idempotent.
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