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W is called a linear transformation if for any vectors u, v in V and scalar c, (a) T(uv) = T(u)T(v), (b) T(cu) = cT(u) The inverse images T¡1(0) of 0 is called the kernel of T and T(V) is called the range of T Example 31 (a) Let A is an m£m matrix and B an n£n matrix The function F M(m;n)!. V F (d) Si W es un subespacio de V y dim V = dim W, entonces V = W V F (e) Si T V → W es una transformaci´ on lineal y A es un conjunto linealmente independiente en V, entonces T (A) es linealmente independiente en W V F Espacio libre para borrador Nada escrito ac´a ser´a incluido en la calificaci´on 1. M@3 ( QE # ?.
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