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Mathematics 12 Online
OpenStudy (anonymous):

For diagnalizing vectors, we have the equation, (P^-1)AP=D. In addition, P is just our eigen vectors alligned as columns. My question is does it matter what order we insert the eigen vectors as columns of P. In addition, if our eigen values are different, is it guranteed that the matrix can be diagonalized. In addition, does different eigen values indicate that the eigen vectors will be linearly independent.

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