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📈 Optional Mathematics - Class 10
Lesson 6 · Inverse Matrix

Transpose of Matrix Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10, Lesson 6

Transpose of Matrix

Rows become columns · Seven properties · Four worked examples

By the end of this lesson you can

🔄

Write the transpose of any matrix

📐

Say how the order changes

📏

Use the rules for sums, differences and scalars

🪞

Recognise a symmetric matrix

🔍

Find unknown entries from a transpose

Activity
A has rows 3, -5, 7 and 2, 4, -6
COUNT
2 rows and 3 columns
ORDER
A is a 2 × 3 matrix
SWAP
Row 1 becomes column 1, row 2 becomes column 2
CHECK
The new matrix is 3 × 2

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Presenter notes: Today we take a matrix and turn it on its side. Rows become columns, columns become rows. Then we see which rules this new matrix always obeys.