Final answer:
To express the matrix and its inverse as products of elementary matrices, we can use the distributive property.
Step-by-step explanation:
When finding the cross product of two vectors A and B, we can express it as a product of elementary matrices. The matrix representation of A is:
[Ax Ay Az]
The matrix representation of B is:
[Bx By Bz]
Using the distributive property, we can write the cross product as:
[Ax Ay Az] × [Bx By Bz] =
[(AyBz - AzBy) (AzBx - AxBz) (AxBx - AyBx)]