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Consider the linear transformation that takes a point in R^3 and projects it onto W R^3. W is a plane spanned by u =

Consider the linear transformation that takes a point in R^3 and projects it onto W ⊂ R^3. W is a plane spanned by u = (1, 2, 3) and v = (1, 0, 1). Find the eigenvectors of this linear transformation.(Hint, which vectors when projected do not change?)

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