8. Midterm 1 and Linear Systems I

Gaussian Elimination — Quiz

Test your understanding of gaussian elimination with 5 practice questions.

Practice Questions

Question 1

What is the main goal of Gaussian elimination when solving a linear system?

Question 2

Which row operation is used to eliminate an entry below a pivot?

Question 3

For the augmented matrix $\begin{bmatrix}1 & 2 & | & 5 \\ 0 & 3 & | & 6\end{bmatrix}$, what is the value of $y$ after back substitution?

Question 4

If elimination produces the row $[0\ 0\ |\ 4]$, what does this mean?

Question 5

In the matrix $\begin{bmatrix}2 & 1 \\ 0 & 3\end{bmatrix}$, what is the pivot in the first row?