Exercise

# Verifying the Math on Eigenvalues

In this exercise you'll find the eigenvalues \(\lambda\) of a matrix \(A\), and show that they satisfy the property that the matrix \(\lambda I - A\) is not invertible, with determinant equal to zero.

Instructions

**100 XP**

- For the matrix
`A`

with the following R output:

```
[,1] [,2]
[1,] 1 2
[2,] 1 1
```

find both eigenvalues.

- Show that, for each eigenvalue lambda (\(\lambda\)), that the determinant of \(\lambda * I - A\) is equal to zero and hence the matrix \(\lambda * I - A\) is not invertible.