# Math Help - Matrices to a power

1. ## Matrices to a power

I'm unsure how to do this question...

2. Have you worked out $A^2$? This is normally the first thing you would try in any problem such as this. For this one, if you calculate $A^2$, you’ll find it’s quite a nice, helpful matrix.

3. so it's equal to the same thing?

4. Originally Posted by akhayoon
so it's equal to the same thing?
$A^2=I$, the identity matrix, so $A^{74}=I$ as well because that will be the identity matrix multiplied by itself 37 times. $A^{75} = A^{74}A = A$. Yes, it is equal to itself.