1 1 vote An $n \times n$ matrix $\mathbf{P}$ is called a Permutation Matrix if each of its $n$ columns and $n$ rows contain exactly one $1$ and $n-1 \; 0$ 's. Consider the following statements: $\operatorname{det}(\mathbf{P})$ is either $+1$ or $-1$. If $\lambda$ is an eigen value of $\mathbf{P}$, then $|\lambda|=1$. $\mathbf{P}^{T}=\mathbf{P}^{-1}$. Which of the following is $\text{TRUE}?$ Only statement $1$ is correct Only statements $1, 2$ are correct Only statements $1,3$ are correct Only statements $2, 3$ are correct All statements $1, 2,$ and $3$ are correct Linear Algebra tifrece2022 linear-algebra matrices + – admin 277 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
