Year 11 Maths - Specialist Transformations of the plane

Area and determinant

ACCOUNT REQUIRED

Unlock all 5 questions & worked solutions

You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.

All Questions

Access the full question set for every topic.

Worked Solutions

Step-by-step explanations for every answer.

Track Progress

Mark questions right or wrong and monitor your growth.

It's Free

No credit card required - sign up in under a minute.

Questions

Question 1

61473

The matrix $\left[ {\begin{array}{*{20}{c}}4&2\\1&1\end{array}} \right]$ maps the unit square to a parallelogram. Find the area of the parallelogram.

Answer

$2\,u^2$

Worked Solution

$$
\begin{array}{l}
{\left[\begin{array}{ll}
4 & 2 \\
1 & 1
\end{array}\right] \rightarrow \operatorname{det}\left[\begin{array}{ll}
4 & 2 \\
1 & 1
\end{array}\right]=4-2=2} \\
\therefore \text { Area of parallelogram }=2 \times 1
=2 u^{2}
\end{array}
$$

📚 Want More Questions?

There are 4 more questions available. Create your free account to access the complete question set with detailed solutions.

Get Full Access Already Have Account?