1.8 KiB
1.8 KiB
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| How to Multiply Matrices |
How to Multiply Matrices
The first immportant rule is: the number of columns in matrix A must match number of rows in column B.
The second rule to calculate the product of two matrices is: Line X Column.
The resulting matrix dimension will be rows of first matrix X columns of second matrix.
Let A and B be two matrices of dimension 2, that is, 2 X 2. Their product will be:
The rows of the the resuting matrix is the sum of product of first matrix row elements by second matrix column elements.
Example
Let A be a 2 X 3 matrix and B be a 3 X 2 matrix. The product AB will be:
- Step 1
- Step 2
- Step 3
- Step 4
Attention!
Differently from real numbers algebra, the product AB is not always equal to BA. Calculate it using the example above and find out.