Question:
Eigenvectors, eigenvalues of a transformation
Suppose a linear transformation is defined by
T(x→) = [0.6 0.8]
[0.8 -0.6]
where x is a vector in the euclidean plane (R^2). Answer the following:
a) What are the eigenvalues and eigenvectors of this transformation?
b) Show that the image of x can be represented as a sum of the eigenvectors.
c) What does this transformation represent?