In each case, compute the action of ST and TS, and show that ST TS. (a) S:

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In each case, compute the action of ST and TS, and show that ST ‰  TS.
(a) S: R3 †’ R3 with S(x, y, z) = (x, 0, z);
T: R3 †’ R3 with T(x, y, z) = (x + y, 0, y + z)
In each case, compute the action of ST and TS,
a
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