Assume that [tex] I [/tex] is the [tex] 3\times 3 [/tex] identity matrix and [tex] a [/tex] is a non-zero column vector with 3 components. Show that:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] I - \frac{2}{| a |^{2}}aa^{T} [/tex] is an orthogonal matrix?

My question is how can one take the determinant of [tex] a [/tex] if it is not a square matrix? Is there a flaw in this problem?

Thanks

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# Orthogonal Matrix

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