4. Show that any inner product satisfies the Cauchy-Schwarz inequality (x, y)(x, x)/(y, y) 1/2 (you...

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4. Show that any inner product satisfies the Cauchy-Schwarz inequality (x, y)(x, x)/(y, y) 1/2 (you are not expected to guess how to prove it; but, when you search, recall that our inner products are complex valued). 4. Show that any inner product satisfies the Cauchy-Schwarz inequality (x, y)(x, x)/(y, y) 1/2 (you are not expected to guess how to prove it; but, when you search, recall that our inner products are complex valued).