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Homework Statement
Let A be the matrix of the linear transformation T. Without writing A, find an eigenvalue of A and describe the eigenspace.
T is the transformation on R2 that reflects points across some line through the origin.
The Attempt at a Solution
Since they tell us that the point is reflected across the origin, I say that the eigenvalue= -1 and since T is a linear transformation, the eigenspace is in R2.
Are both the answer and reasoning correct?