1. ## Matrix Proof

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?

2. 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