3. Matrix Methods for Systems

Matrix Equations — Quiz

Test your understanding of matrix equations with 5 practice questions.

Practice Questions

Question 1

Which matrix equation form represents a linear system with coefficient matrix $A$, unknown vector $x$, and constant vector $b$?

Question 2

If $A$ is an $m\times n$ matrix and $X$ is an $n\times p$ matrix, what is the size of $AX$?

Question 3

What does it mean to solve the matrix equation $AX=B$?

Question 4

If $A$ is invertible, what is the solution to $AX=B$?

Question 5

To isolate $X$ in $AX=B$ when $A$ is invertible, on which side should $A^{-1}$ be multiplied?