Final answer:
To find the matrix representing the inverse, transpose, or product of a relation represented by a matrix r, follow the given steps.
Step-by-step explanation:
To find the matrix representing a) the inverse of a relation represented by a matrix r, you need to find the inverse of the matrix r. b) To find the matrix representing the transpose of a relation represented by a matrix r, you need to transpose the matrix r. c) To find the matrix representing the inverse of the transpose of a relation represented by a matrix r, you need to find the transpose of the matrix r and then take the inverse of that matrix. d) To find the matrix representing the product of the inverse of a relation represented by a matrix r and the transpose of that relation, you need to find the inverse of the matrix r, find the transpose of the matrix r, and then multiply those two matrices.