Question: F: VV F(G(x)) = G(F(x)) Let V be an finite-dimensional linear space, and and linear in the transformation that is diagonalizable, that is: There

F: VV F(G(x)) = G(F(x)) Let V be an finite-dimensional linear space,

F: VV F(G(x)) = G(F(x)) Let V be an finite-dimensional linear space, and and linear in the transformation that is diagonalizable, that is: There exists a basis e for V so that the matrix for F basis e is diagonal, and an basis f for V so that the matrix for G in the basis f is diagonal. b) Show that if G: V V xEV. for all then there exists a basis so that the matrixes for both Fa and Gin g is diagonal.

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a Let V be an finitedimensional linear space and F VV and G VV be two linear transformations that are diagonalizable This means that there exist bases e and f for V such that the matrixes for F and G ... View full answer

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