Question: Find all its invariant subspaces W R2, as defined in Exercise 7.4.32, of the following linear transformations L: R2 R2: (a) The scaling

Find all its invariant subspaces W ⊂ R2, as defined in Exercise 7.4.32, of the following linear transformations L: R2 → R2:
(a) The scaling transformation (2x, 3y)T
(b) The shear (x + 3y, y)T
(c) Counterclockwise rotation by an angle 0 ≤ θ < 2π

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