Show that in an inner product space, x perpendicular to y if and only if $\displaystyle ||x+\alpha y||\geqslant||x|| $ for all sclar $\displaystyle \alpha $
Show that in an inner product space, x perpendicular to y if and only if $\displaystyle ||x+\alpha y||\geqslant||x|| $ for all sclar $\displaystyle \alpha $
Sorry i meant to say
Show that in an inner product space, x orthogonal to y if and only if $\displaystyle ||x+\alpha y||\geqslant||x|| $ for all sclar $\displaystyle \alpha $
Sorry i meant to say Show that in an inner product space, x orthogonal to y if and only if $\displaystyle ||x+\alpha y||\geqslant||x|| $ for all sclar $\displaystyle \alpha $