Find all invariant subspaces W R 2 of the following linear transformations L: R 3

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Find all invariant subspaces W ⊂ Rof 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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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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