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📈 Optional Mathematics - Class 10
Lesson 9 · Transformation Using Matrix

Transformation Using Matrix Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10 · Transformation

Transformation Using Matrix

2 × 1 matrix: translation · 2 × 2 matrix: reflection, rotation, enlargement

By the end of this lesson you can

📍

Write a point and a figure as a matrix

➕

Translate a point with a 2 × 1 matrix

✖️

Find images with Image = TM × Object

🔍

Derive and identify standard 2 × 2 matrices

🧩

Find a matrix from an object and its image

Two kinds of matrix transformation

➕2 × 1 matrix
Translation only
Image = Object + T
(x, y) goes to (x + a, y + b)
VS
✖️2 × 2 matrix
Reflection, rotation, enlargement
Image = TM × Object
(x, y) goes to (ax + by, cx + dy)

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Presenter notes: Today we take the transformations you already know and write each one as a matrix. After this, finding an image is just a multiplication or an addition.