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  3. for u, v r, which of the following is (are) inner

For u, v R, which of the following is (are) inner product(s)?(A) (u, v)...

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For u, v R, which of the following is (are) inner product(s)?(A) (u, v) = U?V? + ZU?V? + 5u3V3(B) (u, v) = U?V? - U?V? + ZU3V3(C) (u, v) = uv? + U?V + U3V3(D) (u, v) = U?V? + U2V3 + U3V1(E) (u, v) = U?U?Uz + V? V? V3Which of the following is (are) linear transformation(s)?(A) f(x) = sin x + cos x(B) f(x) = ex(x + x).(C) T(x, y) = (x + y, x - y).(D) T(x, y, z) = (x ? 2y, 0, x + 3y - z).(E) T(x, y) = (x ? 1, y + 1, x + z)

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