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Question: a1 a12 a13 a14 bi by b 2 denote row...

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a1 a12 a13 a14 bi by b 2 Denote row i in matrix A above as vector a and row i in matrix B as vector bn for example, a aan a3 aul Similarly, denote column k in matrix A as vector and column k in matrix B as vector b. a) Does matrix C AB exist? If no, explain why not. If yes, write it out expressing each element ck as the inner product of the relevant vectors defined above b) Does matrix D- BA exist? If no, explain why not. If yes, write it out expressing each element dak as the inner product of the relevant vectors defined above 2) Find the length of vector i -2 s 3) Let u-33 2], and w-Is 1 a) Treating u, v, and w, as vectors, are the inner products us, v.u, and u.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 in,,, v,u, and u,v, defined? If ye compute them. If any of them is not defined, explain why not.
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