2. Introduction to Linear Systems

Row-echelon And Reduced Row-echelon Form — Quiz

Test your understanding of row-echelon and reduced row-echelon form with 5 practice questions.

Practice Questions

Question 1

Which statement is a required feature of row-echelon form?

Question 2

Which statement is required for reduced row-echelon form but not for ordinary row-echelon form?

Question 3

How many pivot positions does the matrix $\begin{bmatrix}1&2&0\\0&3&5\\0&0&0\end{bmatrix}$ have?

Question 4

Is the matrix $\begin{bmatrix}1&0&4\\0&1&-2\\0&0&0\end{bmatrix}$ in reduced row-echelon form?

Question 5

What is the name for the first nonzero entry in a nonzero row?