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📈 Optional Mathematics - Class 10
Lesson 6 · Inverse Matrix

Multiplication of Matrix Presentation

Optional MathematicsSubject
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Optional Mathematics · Class 10 · Matrices

Multiplication of Matrix

Row by column · The order rule · Four properties

By the end of this lesson you can

✖️

Multiply two matrices row by column

📏

Decide if a product exists and find its order

⚖️

Check the commutative, associative, distributive and identity properties

🧮

Square a matrix, find unknown entries and prove (AB)ᵀ = BᵀAᵀ

The method
Row by column
ROW
Take one row of the first matrix
COLUMN
Take one column of the second matrix
PAIR
Multiply first with first, second with second
ADD
Add the products to get one entry

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Presenter notes: Today we learn to multiply two matrices. It is not like adding, where we just add matching entries. By the end you will multiply any two matrices that can be multiplied, and you will know which laws of multiplication still work for matrices.