Let A = $$\left( {\matrix{ 0 & {2q} & r \cr p & q & { - r} \cr p & { - q} & r \cr } } \right).$ If AAT = I3, then $\left| p \right|$$ is :

Question

Let A = $$\left( {\matrix{ 0 & {2q} & r \cr p & q & { - r} \cr p & { - q} & r \cr } } \right).$ If AA^T = I₃, then $\left| p \right|$$ is :

${1 \over {\sqrt 2 }}$

${1 \over {\sqrt 5 }}$

${1 \over {\sqrt 6 }}$

${1 \over {\sqrt 3 }}$

Please login to view the detailed solution steps...