- #1
kq6up
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Homework Statement
Multiply the matrices to find the resultant transformation.
$$x\prime =2x+5y\\ y'=x+3y $$ and $$ x\prime \prime =x\prime -2y\prime \\ y\prime \prime =3x\prime -5y\prime $$
Homework Equations
$$Mr=r\prime$$
The Attempt at a Solution
I get imaginary eigenvalues of -i and i. I would imagine the transformation would rotate the vectors 90deg in the complex plane on either side.
However, the answer in the text does say 90deg rotation, but it says in the real $$x\prime \prime=-y$$ and $$y\prime \prime=x $$
Any clue what went amiss?
Thanks,
Chris Maness