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

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

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

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

Expert Solution

Colby Messinger answered 10 months ago

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