Transformations using Matrices (Edexcel A-Level Further Mathematics): Quizzes

📚Quizzes
Transformations using a Matrix
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

12 questions from this quiz

Show

What is the matrix for reflection in the xx-axis?

(1001)\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}

Which matrix represents reflection in the line y=xy = x?

(0110)\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}

The matrix (1001)\begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix} represents reflection in which line?

The yy-axis

What is the matrix for a 90°90° anticlockwise rotation?

(0110)\begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}

Which matrix represents a 180°180° rotation about the origin?

(1001)\begin{pmatrix} -1 & 0 \\ 0 & -1 \end{pmatrix}

In the general rotation matrix, what goes in the top-left position for angle θ\theta?

cosθ\cos \theta

What is the matrix for a stretch parallel to the xx-axis by factor kk?

(k001)\begin{pmatrix} k & 0 \\ 0 & 1 \end{pmatrix}

Which matrix represents a stretch parallel to the yy-axis by factor kk?

(100k)\begin{pmatrix} 1 & 0 \\ 0 & k \end{pmatrix}

What is the matrix for an enlargement by scale factor kk?

(k00k)\begin{pmatrix} k & 0 \\ 0 & k \end{pmatrix}

If transformation AA is followed by BB, what is the combined matrix?

BABA

What is (1001)(0110)\begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}?

(0110)\begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix}

How does a stretch differ from an enlargement?

Stretch scales along one axis only

Explore Edexcel A-Level Further Mathematics Revision Notes by Topics

Explore Edexcel A-Level Further Mathematics Model Answers by Topics

Explore Edexcel A-Level Further Mathematics Flashcards by Topics

Explore Edexcel A-Level Further Mathematics Exam Questions by Topics

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.