\(A = \begin{bmatrix} 1 & 2 & 1 & 0\\ 1 & 0 & 1 & 0\\ 2 & 1 & 1 & 0\\ 3 & 1 & 0 & 1 \end{bmatrix}\)
library(pracma)
c <-matrix(c(1,2,1,0,1,0,1,0,2,1,1,0,3,1,0,1),nrow = 4,ncol = 4)
c
## [,1] [,2] [,3] [,4]
## [1,] 1 1 2 3
## [2,] 2 0 1 1
## [3,] 1 1 1 0
## [4,] 0 0 0 1
charpoly(c,info = FALSE)
## [1] 1 -3 -2 2 2