University matrices and determinants quiz to download as PDF

This University matrices and determinants quiz has 10 short questions for pupils aged 18-19. Type your answer, check it straight away and read the explanation when you get one wrong.

University matrices and determinants quiz: the 10 questions

\(\det\begin{pmatrix}1&2\\3&4\end{pmatrix}\)?
Is matrix multiplication commutative?
\(\det I_3\)?
\(\det(AB)\) in terms of det A and det B?
\(\det\begin{pmatrix}1&2\\2&4\end{pmatrix}\)?
Size of \(AB\) if \(A\) is \(3\times2\), \(B\) is \(2\times5\)?
\(\det(A^{-1})\) if \(\det A=4\)?
\((A^{-1})^{-1}\)?
\(\begin{pmatrix}1&0\\0&1\end{pmatrix}^{10}\)?
Which rule solves \(A\mathbf x=\mathbf b\) with determinants?

How to use this University matrices and determinants quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the matrices and determinants lesson and try again later. After that, try the multiple choice questions or the matrices and determinants worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.