Thread: Prove induction

If A = a 0
0 b

then

A^n = a^n 0
0 b^n

[IMG]file:///C:/Users/Owner/AppData/Local/Temp/moz-screenshot.jpg[/IMG]
Please see attachment its hard to display the question in text. Thanks.

Originally Posted by captainjapan

If A = a 0
0 b

then

A^n = a^n 0
0 b^n

[IMG]file:///C:/Users/Owner/AppData/Local/Temp/moz-screenshot.jpg[/IMG]
Please see attachment its hard to display the question in text. Thanks.

which will give us a base case.

Suppose true for some

Then



Now do the multiplication abd you should be there.

CB

Originally Posted by captainjapan

If A = a 0
0 b

then

A^n = a^n 0
0 b^n

[IMG]file:///C:/Users/Owner/AppData/Local/Temp/moz-screenshot.jpg[/IMG]
Please see attachment its hard to display the question in text. Thanks.

Have you ever heard about mathematical induction?

n = 1: OK

n -> n+1







Edit: Too slow