i have a matrix A = a 0 where a and b are real numbers. How can i prove 0 b that A^n = a^n 0 0 b^2 for every positvie integer?
Last edited by dh214; Nov 5th 2008 at 01:57 PM.
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Originally Posted by dh214 i have a matrix A = a 0 where a and b are real numbers. How can i prove 0 b that A^n = a^n 0 0 b^2 for every positvie integer? By induction. It is clearly true for n=1 Now assume it true for some k and show that it is also true for k+1. CB
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