These Further Maths inverse matrices and systems of equations multiple choice questions check your understanding of inverse matrices and systems of equations with 10 questions for pupils aged 16-18. Each question has four answers, and the right one is explained as soon as you choose.
Further Maths inverse matrices and systems of equations multiple choice questions: the 10 questions
The inverse of \(\begin{pmatrix}2&1\\1&1\end{pmatrix}\) is:
\((\mathbf{AB})^{-1}=\)
If \(\mathbf{XA}=\mathbf B\) then \(\mathbf X=\)
A system \(\mathbf{Ax}=\mathbf b\) with \(\det\mathbf A=0\) has:
If \(\det\mathbf A=4\) for a \(3\times3\) matrix, \(\det(2\mathbf A)=\)
Three planes forming a triangular prism correspond to:
The determinant of the inverse of \(\mathbf A\) with \(\det\mathbf A=5\) is:
For \(\mathbf A=\begin{pmatrix}k&2\\3&6\end{pmatrix}\), \(\mathbf A^{-1}\) does not exist when \(k=\)
The adjugate matrix is the:
If \(\mathbf A^2=2\mathbf A-\mathbf I\) then \(\mathbf A^{-1}=\)
How to use these Further Maths inverse matrices and systems of equations multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the inverse matrices and systems of equations lesson.
Finally, practise more with the inverse matrices and systems of equations worksheet and the quiz. 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.
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