install.packages(“pracma”)

library(pracma)

A <- matrix(c(1, 3, 2, 4), nrow = 2)
A
##      [,1] [,2]
## [1,]    1    2
## [2,]    3    4
A <- charpoly(A, info = TRUE)
## Error term: 4
A$cp
## [1]  1 -5 -2
So the characteristic polynomial is

\[\lambda^2\ - 5 \lambda\ - 2 = 0 \]