multiplication

Navigation:  Language Reference > Operators > Arithmetic >

multiplication

Previous pageReturn to chapter overviewNext page

Syntax

A * B

Description

A * B multiplies A with B. For nonscalar A and B, the number of columns of A must equal the number of rows of B. If C = A*B then the elements of C can be calculated out of the matrix elements of A and B as:

MatrixMultiplication

A scalar can be multiplied with a matrix of any size.

Examples

A

B

A * B

5

3

15

-4.5

5.4

-24.3

2

[1,2;3,4]

[2,4;6,8]

[1,-2;-3,4]

4

[4,-8;-12,16]

[1,2,3;4,5,6]

[1,2;3,4;5,6]

[22,28;49,64]

[1,2;3,4;5,6]

[1,2,3;4,5,6]

not allowed!

Limitations

For nonscalar A and B, the number of columns of A must equal the number of rows of B.