'Solve for x, when A^4 = C,
A:
( 1 X )
( 0 1 )
and C:
( 1 51 )
( 0 1 )'
At first I took the 4th root of 51, which gave me 2.67,
but when I plotted that into my calculator, it was wrong,
and didn't give me 51.
According to my calculator x = 12.75, but why is that?
12.75 is 51/4, but isn't that wrong since it's A^4?
If anyone understood that and can explain it to me, I'd be very grateful (:
One very important point you are missing is that A^4 does not mean you are raising all the elements of matrix A to the power 4!
A^4 means A.A.A.A, where . is matrix multiplication. That is you have to multiply A to itself 4 times using matrix multiplication technique.
Now,do you understand why taking 4th root was wrong?