Hi, matrix A= -7 18 -3 8 I need to find using P= 2 3 1 1 P^-1 = -1 3 1 -2 D^2 = 4 0 0 1 My problem is how do I multiply out PD^2P^-1 correctly? its doesnt seem to give A^2 as the answer? Thanks
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Originally Posted by BadMonkey Hi, matrix A= My problem is how do I multiply out PD^2P^-1 correctly? its doesnt seem to give A^2 as the answer? Let us see. Perhaps the origin of the problem is: (i) The eigen values of are (both simple), so is diagonalizable, being: (ii) In fact, the matrix satisfies: or equivalently (iii) Then, . (iv) So, Now, find directly. You'll obtain the same matrix. Regards.
Last edited by FernandoRevilla; November 14th 2010 at 12:00 PM.
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