LAIP7

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Show that \langle \alpha x, \alpha y\rangle = |\alpha|^2\langle x, y\rangle

By property of Complex numbers, z\overline{z} = |z|^2. So this is true because \langle \alpha x, \alpha y\rangle = \alpha\overline{\alpha}\langle x, y\rangle


Main Page : Linear Algebra : Inner Products

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