Question: Exercises 4. Suppose U E Rnxn with orthonormal columns. Show that then (I) IUall = 121. (II) (Ux, Uy) = (x, y). (III) (Ux, Uy)

Exercises 4. Suppose U E Rnxn with orthonormal columns. Show that then (I) IUall = 121. (II) (Ux, Uy) = (x, y). (III) (Ux, Uy) = 0 if and only if (x, y) = 0

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