LAIP11

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Show that \langle x, x\rangle is always real.

By property of complex numbers, z\, is real if z = \overline{z}. So this is true because if \langle x, x\rangle = z, then \overline{z} = \overline{\langle x, x\rangle} = \langle x, x\rangle


Main Page : Linear Algebra : Inner Products

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