Further Maths inverse matrices and systems of equations quiz to download as PDF

This Further Maths inverse matrices and systems of equations 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 inverse matrices and systems of equations quiz: the 10 questions

Find \(\det\begin{pmatrix}5&2\\3&1\end{pmatrix}\).
What do we call a matrix with determinant 0?
\(\det\mathbf A^{-1}\) if \(\det\mathbf A=8\)?
Inverse of \(\begin{pmatrix}2&0\\0&4\end{pmatrix}\): top-left entry?
For \(\mathbf{AX}=\mathbf B\), \(\mathbf X=\) ?
Three parallel distinct planes: number of solutions?
\(\det\begin{pmatrix}1&2&3\\0&1&4\\0&0&1\end{pmatrix}\)?
Three planes meeting at a single point: \(\det\) zero or non-zero?
\(\left(\begin{pmatrix}0&1\\-1&0\end{pmatrix}\right)^{-1}\): bottom-left entry?
If a system reduces to \(0=5\), is it consistent? (yes/no)

How to use this Further Maths inverse matrices and systems of equations 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 inverse matrices and systems of equations lesson and try again later. After that, try the multiple choice questions or the inverse matrices and systems of equations 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.