DATA 605 FUNDAMENTALS OF COMPUTATIONAL MATHEMATICS

Discussion 3: EE.C12

Kyle Gilde

9/13/2017

## pracma 
##   TRUE

Exercise EE.C12

Find the characteristic polynomial of the matrix A.

\[\begin{equation}A = \begin{bmatrix} 1 & 2 & 1 & 0\\ 1 & 0 & 1 & 0\\ 2 & 1 & 1 & 0\\ 3 & 1 & 0 & 1 \end{bmatrix}\end{equation}\]

In R

Aij <- c(1,2,1,0,1,0,1,0,2,1,1,0,3,1,0,1)
A <- matrix(Aij, 4, 4, byrow = T)

charpoly(A)

## [1]  1 -3 -2  2  2

\(p_{A}(x) = 2 + 2x - 2x^2 - 3x^3 + x^4\)