Application Exercise

1. Open Rstudio Server Pro
2. Create a new project
3. Click File > New File > R Markdown
4. Delete everything except for

---
title: "Untitled"
output: html_document
---

5. Give your work a sensible title
6. When you’ve finished, upload the .html file to Canvas

• In R, find a design matrix X where it is not possible to calculate ˆβ

solve(t(X) %*% X) %*% t(X) %*% y

• Calculate the determinant of the following matrices in R using the det() function:

A=[1245]

B=[123369257]

• Find ˆβ that minimizes this:

(y−Xβ)T(y−Xβ)+λβTβ