These Further Maths matrices and linear transformations multiple choice questions check your understanding of matrices and linear transformations 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 matrices and linear transformations multiple choice questions: the 10 questions
\(\det\begin{pmatrix}4&3\\2&5\end{pmatrix}=\)
If \(\mathbf P\) is applied first, then \(\mathbf Q\), the combined matrix is:
A shear \(\begin{pmatrix}1&3\\0&1\end{pmatrix}\) has area scale factor:
The matrix \(\begin{pmatrix}0&-1\\1&0\end{pmatrix}\) represents:
If \(\det\mathbf M=-4\), the area scale factor is:
Which is always true for \(2\times2\) matrices?
The eigenvalues of \(\begin{pmatrix}2&0\\0&5\end{pmatrix}\) are:
\(\det\begin{pmatrix}1&0&0\\0&2&0\\0&0&3\end{pmatrix}=\)
Reflection in the line \(y=x\) has matrix:
The matrix \(\begin{pmatrix}2&4\\1&2\end{pmatrix}\) is:
How to use these Further Maths matrices and linear transformations 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 matrices and linear transformations lesson.
Finally, practise more with the matrices and linear transformations 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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