- #1
theBEAST
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Homework Statement
Find a 2 by 2 matrix such that when cubed, is equal to the identity matrix. This matrix cannot be equal to the identity matrix unless it is cubed.
So for example:
B3 = [1 0;0 1]
but
B≠[1 0;0 1]
The Attempt at a Solution
The professor told us that we have to use a linear transformation where you rotate it three times by 120o. The problem I have is that I cannot visualize how such rotations can solve the problem. Also I don't even know what to rotate. If anyone knows what to do it would be greatly appreciated, thanks!