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

📚Flashcards
Transformations using a Matrix
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Matrix for reflection in x-axis

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

Matrix for reflection in y-axis

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

Matrix for reflection in line y=xy = x

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

Matrix for reflection in line y=xy = -x

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

Matrix for 90°90° anticlockwise rotation

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

Matrix for 180°180° rotation

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

Matrix for stretch parallel to x-axis by factor kk

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

Matrix for stretch parallel to y-axis by factor kk

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

Matrix for enlargement by scale factor kk

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

Combined transformation: matrix AA then BB equals

BABA (not ABAB)

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 Quizzes by Topics

Explore Edexcel A-Level Further Mathematics Exam Questions by Topics

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

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