If P is a 3×3 matrix such that PT=2P+I, where PT is the transpose of P and I is the 3×3 identity matrix, then there exists a column matrix X=⎡⎢⎣xyz⎤⎥⎦≠⎡⎢⎣000⎤⎥⎦ such that

If P is a 3×3 matrix such that PT=2P+I, where PT is the transpose of

1.	If P is a 3×3 matrix such that PT=2P+I, where PT is the transpose of P and I is the 3×3 identity matrix, then there exists a column matrix X=⎡⎢⎣xyz⎤⎥⎦≠⎡⎢⎣000⎤⎥⎦ such that
Answer» If $P$ is a $3 \times 3$ matrix such that $P^{T} = 2 P + I$ , where $P^{T}$ is the transpose of $P$ and $I$ is the $3 \times 3$ identity matrix, then there exists a column matrix $X = ⎡ ⎢ ⎣ \begin{matrix} x y z \end{matrix} ⎤ ⎥ ⎦ \neq ⎡ ⎢ ⎣ \begin{matrix} 000 \end{matrix} ⎤ ⎥ ⎦$ such that