# How to do Cross Product of Two 3x3 Matrices

• Dec 3rd 2009, 10:53 AM
dellatorre
How to do Cross Product of Two 3x3 Matrices
How do I take the cross product of Two 3x3 Matrices.

For example what is cross product of:
[-1 0 0]
[0 1 0]
[0 0 1]

x

[0 -1 0]
[1 0 0]
[0 0 1]

thanks,
Della
• Dec 3rd 2009, 06:17 PM
NonCommAlg
Quote:

Originally Posted by dellatorre
How do I take the cross product of Two 3x3 Matrices.

For example what is cross product of:
[-1 0 0]
[0 1 0]
[0 0 1]

x

[0 -1 0]
[1 0 0]
[0 0 1]

thanks,
Della

i've seen that the Lie bracket of two matrices of the same size $A, B,$ which is defined by $[A, B] = AB - BA,$ sometimes is called the cross product of $A, B.$