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(Solved): 6. If the following transformation is linear, prove it. If not, give a counterexample: T ...

$6. If the following transformation is linear, prove it. If not, give a counterexample: \[ T\left(\left[\begin{array}{l} x \\$

6. If the following transformation is linear, prove it. If not, give a counterexample:

T ? ? ? ? x y z ? ? ? ? = ? ? x + z y + z x + y ? ?

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