1. Bob can decrypt the message by inverting the secret matrix that Alice is using and multiplying it to the encrypted vector.

2. Yes, she can do it by using linearity. Since she has a message and she knows what the encrypted vector is she has an input, and she has an output, therefore she can find the system.

3. Answer: B,W,E

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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