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.
This exercise is part of the course
Linear Algebra for Data Science in R
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Show that 7 is an eigenvalue for A
___%*%c(0.2425356, 0.9701425, 0) - 7*c(0.2425356, 0.9701425, 0)