Let A be a diagonalizable n x n matrix and let P be an invertible nxn matrix such that B = p-1AP is the diagonal form of A. Prove that Ak = PBkp=1, where k is a positive integer. Use the result above to find the indicated power of A. 0 -4 7 -1 -4 , AS 0 -4 A5 = Need Help? Read It

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.