Let A be a 3 x 3 matrix with three distinct eigenvalues Tell how to construct six different invertible matrices P 1 , P 2 , , P 6 and six different diagonal matrices D 1 , D 2 , , D 6 such that P i D i (P i ) 1 A for each i 1,2, , 6

Question: Let A be a 3 x 3 matrix with three distinct eigenvalues. Tell how to construct six different invertible matrices P 1 , P 2

Let A be a 3 x 3 matrix with three distinct eigenvalues. Tell how to construct six different invertible matrices P₁, P₂,..., P₆ and six different diagonal matrices D₁, D₂,..., D₆ such that P_iD_i (P_i)^-1 = A for each i = 1,2,..., 6.

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