Question

T/ F : Let V be an inner product space with orthogonal basis B = {v1,...

T/ F : Let V be an inner product space with orthogonal basis B = {v1, . . . , vn}. Let [v]B = (1, 2, 2, 0, . . . , 0). Then ||v|| = 3.

The ans is F , but I don't understand why. Please explain.

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Answer #1

The ans is F. But if we take B as a orthonormal basis then then above is true.

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