Question: Suppose that a matrix C M64(R) has 16 distinct eigenvalues 1, . . . , 16. Prove that if dim(E1 ) = 49, then the

Suppose that a matrix C M64(R) has 16 distinct eigenvalues 1, . . . , 16.

Prove that if dim(E1 ) = 49, then the matrix C is diagonalizable. Solution:

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