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Proof Let V be an inner product space. For a fixedvector

Chapter 6, Problem 6.1.80

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QUESTION:

Proof Let V be an inner product space. For a fixedvector v0 in V, define T: VR by T(v) = v, v0. Provethat T is a linear transformation.

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QUESTION:

Proof Let V be an inner product space. For a fixedvector v0 in V, define T: VR by T(v) = v, v0. Provethat T is a linear transformation.

ANSWER:

Step 1 of 2

Let

We can say  is a linear transformation if and only if, for all  and  it satisfies that

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