The transformation T : R 3 → R 3 {\displaystyle T:\mathbb {R} ^{3}\to \mathbb {R} ^{3}} given by T ( x ) = p r o j W x {\displaystyle T({\bf {x}})={\rm {proj}}_{W}{\bf {x}}} is linear. Write down the matrix A {\displaystyle A} of T {\displaystyle T} .