It will yield the identity if and only if it is performed on a singular operand with its inverse.
For operands that represent linear transformations, this operation represents function composition. It will yield the identity if and only if it is performed on a singular operand with its inverse. Unlike its scalar counterpart, this process does not generally (*) commute, and it is only defined if the number of columns of the first operand equals the number of rows of the second operand. For 10 points, name this binary operation on two matrices.
For operands that represent linear transformations, this operation represents function composition.
matrix multiplication (accept matrix product; accept word forms or variations like multiplying matrices; prompt on multiplication or word forms thereof)