Question: Find all invariant subspaces W R 2 of the following linear transformations L: R 3 R 3 : (a) The scaling transformation (2x,

Find all invariant subspaces W ⊂ R2 of the following linear transformations L: R3 → R3:

(a) The scaling transformation (2x, 3y, 4z)T;

(b) The shear (x + 3y, y, z)T;

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