31. Here are many options because matrix multiplication is parenthesized, the result obtained will remain the same. 32. This can be more natural and seem simpler than writing matrices and the composition is by matrix multiplication . 33. Directly applying the mathematical definition of matrix multiplication gives an algorithm that complexity of the problem is ). 34. The group SO ( 3 ) can therefore be identified with the group of these matrices under matrix multiplication . 35. In practice, Givens rotations are not actually performed by building a whole matrix and doing a matrix multiplication . 36. The Nial example of the inner product of two arrays can be implemented using the native matrix multiplication operator. 37. Additional Python bindings to simplify matrix multiplication operations can be found in the program " pycublas ". 38. A subgroup of a group must be closed under the same operation of the group ( here matrix multiplication ). 39. Another example : In mathematics, multiplication is commutative for real and complex numbers but not commutative in matrix multiplication . 40. Conversely, given any set of-by-matrices over, and where composition is given by matrix multiplication .
