Further Maths matrices and linear transformations quiz to download as PDF

This Further Maths matrices and linear transformations quiz has 10 short questions for pupils aged 16-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Further Maths matrices and linear transformations quiz: the 10 questions

Find \(\det\begin{pmatrix}3&1\\2&4\end{pmatrix}\).
What is the order of matrices when P is applied first and Q second?
Area scale factor of \(\begin{pmatrix}2&0\\0&5\end{pmatrix}\)?
Eigenvalues of \(\begin{pmatrix}4&0\\0&1\end{pmatrix}\)?
Is a matrix with determinant 0 invertible? (yes/no)
Image of \((1,0)\) under \(\begin{pmatrix}a&b\\c&d\end{pmatrix}\) as a vector?
Matrix of reflection in the \(x\)-axis: write the bottom-right entry.
\(\det\begin{pmatrix}1&2&3\\0&4&5\\0&0&6\end{pmatrix}\)?
True or false: AB = BA for all square matrices.
Area scale factor of rotation?

How to use this Further Maths matrices and linear transformations 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 linear transformations lesson and try again later. After that, try the multiple choice questions or the matrices and linear transformations 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.