In E3 si consideri il sottospazio vettoriale W generato dai vettori (1, 1, 1) e

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In E3 si consideri il sottospazio vettoriale W generato dai vettori (1, 1, 1) e (0, −4, 0).
i) Scegliere un’isometria lineare diretta F di E3 tale che Span{(3, 0, 4)} ⊂ F(W), indicandone esplicitamente la matrice rappresentativa rispetto alla base canonica.
ii) Scegliere un’isometria lineare NON diretta G di E3 tale che Span{(3, 0, 4)} ⊂ F(W), indicandone esplicitamente la matrice rappresentativa rispetto alla base canonica.

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