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  3. let b be a basis of rn, and suppose that mv=λv

Let B be a basis of Rn, and suppose that Mv=λv for every v∈B. a) Show that...

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Advance Math

Let B be a basis of Rn, andsuppose that Mv=λv for every v∈B.

a) Show that every vector in Rn isan eigenvector for M.

b) Hence show that M is a diagonalmatrix with respect to any other basis C for Rn.

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