Finding Eigenvalues in R

In the next video we will explicitly see how to find the eigenpairs for a matrix \(A\), but right now we can at least show that a pair is an eigenpair for a matrix \(A\). We can do this by showing that the difference between \(A\vec{v}\) and \(\lambda\vec{v}\) results in a vector of zeros.

The matrix A with R output:

     [,1] [,2] [,3]
[1,]   -1    2    4
[2,]    0    7   12
[3,]    0    0   -4

is loaded for you.