4. Matrix Algebra

Explaining Noncommutativity — Quiz

Test your understanding of explaining noncommutativity with 5 practice questions.

Practice Questions

Question 1

What does it mean for matrix multiplication to be noncommutative?

Question 2

Which statement best explains why the order of matrix multiplication matters?

Question 3

For $A=\begin{pmatrix}1&0\\0&2\end{pmatrix}$ and $B=\begin{pmatrix}0&1\\1&0\end{pmatrix}$, what is $AB$?

Question 4

For the same matrices $A=\begin{pmatrix}1&0\\0&2\end{pmatrix}$ and $B=\begin{pmatrix}0&1\\1&0\end{pmatrix}$, what is $BA$?

Question 5

Using the same example, which statement is true?