Let A be a 2 Ã 2 matrix, and call a line through the origin of R2

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Let A be a 2 × 2 matrix, and call a line through the origin of R2 invariant under A if Ax lies on the line when x does. Find equations for all lines in R2, if any, that are invariant under the given matrix.
(a)
Let A be a 2 × 2 matrix, and call

(b)

Let A be a 2 × 2 matrix, and call
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