- 8

- 0

**1. The problem statement, all variables and given/known data**

Given the matrix A= 1 2, make a rule for A^n

0 3

**2. Relevant equations**

A^2= 1 8 , so the first and last numbers are put to the power given (i tried other powers)

0 9

But then what about the 8???

Another one: A^5= 1 242

0 243

I need to get a general formula... it seems as though the 242 is the last number-1

But then if I have something like B= -1 1

-16 7

It goes all strange

B^2= -15 6

-96 33

Ok, if I make it C= a b

c d

Is this right for C^2: a^2+c ?

? d^2+c

By the way, the ? mean I don't know

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