2. Introduction to Linear Systems
Interpreting Pivots And Free Variables — Quiz
Test your understanding of interpreting pivots and free variables with 5 practice questions.
Practice Questions
Question 1
In row-echelon form, what is a pivot?
Question 2
A system has $6$ variables and pivot columns in $1$, $2$, $4$, and $6$. How many free variables does it have?
Question 3
If the pivot columns are $1$ and $3$ for a system with variables $x_1$, $x_2$, $x_3$, and $x_4$, which variables are free?
Question 4
What do pivot columns identify in a linear system?
Question 5
If a coefficient matrix has a pivot in every column, what can you conclude about the free variables?