Suppose T 2 L.Fn; Fm/. Show that there exist scalars Aj;k 2 F forj D 1; : : : ; m and k
Chapter 3, Problem 3(choose chapter or problem)
Suppose T 2 L.Fn; Fm/. Show that there exist scalars Aj;k 2 F forj D 1; : : : ; m and k D 1; : : : ; n such thatT .x1;:::;xn/ D .A1;1x1 CCA1;nxn;:::;Am;1x1 CCAm;nxn/for every .x1;:::;xn/ 2 Fn.[The exercise above shows that T has the form promised in the last itemof Example 3.4.]
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