Using this system, translation can be expressed with matrix multiplication.
An example of a systolic algorithm might be designed for matrix multiplication.
This is a group with matrix multiplication as operation.
In matrix multiplication, there is actually a distinction between the cross and the dot symbols.
This approach drastically reduces the necessary amount of matrix multiplication.
For example, a very large matrix multiplication would take only a few seconds on a machine that was much less powerful than those today.
Then the bra can be computed by normal matrix multiplication.
Many large mathematical operations on computers end up spending much of their time doing matrix multiplication.
This follows from the distributivity of matrix multiplication over addition.
Other rotation matrices can be obtained from these three using matrix multiplication.