4. Topic 4(COLON) Matrices and Linear Systems

Lesson 4.4: Solving Systems Of Linear Equations — Quiz

Test your understanding of lesson 4.4: solving systems of linear equations with 5 practice questions.

Practice Questions

Question 1

Given the system of equations $2x + 3y = 6$ and $4x - y = 5$, what is the matrix form of this system?

Question 2

What is the value of $x$ when solving the linear system represented by the matrix equation $\begin{pmatrix} 1 & 1 & 1 \\ 0 & 1 & 2 \\ 2 & 1 & 1 \end{pmatrix} \begin{pmatrix} x \\ y \\ z \end{pmatrix} = \begin{pmatrix} 6 \\ 8 \\ 7 \end{pmatrix}$?

Question 3

If a linear system is inconsistent, what does that mean in terms of its graphical representation?

Question 4

Which of the following methods can be used to solve a linear system of equations?

Question 5

What is the inverse of the matrix $\begin{pmatrix} 2 & 1 \\ 5 & 3 \end{pmatrix}$?