In a Python class, please.

Given two matrices M1 and M2 and a scalar number c, we can define the following operations: Addition - the sum M1 + M2 is a new matrix P where P_i, j = M1)i, j + M2_i, j, provided that M1 and M2 are both n times m matrices. Subtraction the difference M1 - M2 is a new matrix P where P_i, j - M2_i, j, provided that both M1 and M2 are n times m matrices. Scalar Multiplication - the product cM1 is a new matrix P where P_i, j = cM1_i, j. Matrix Multiplication - If M1 is a n times p matrix, and M2 is a p times m matrix, then M1 * M2 is a new n times m matrix P where P_i, j = ^p - 1 (M1_i, k * M2_k, j). Identity Matrix - this operation creates a new identity matrix l_n, which is a n times n square matrix with 1s on the main diagonal and zero elsewhere. That is, for any element I_i, j, if I = j, then I_i, j is 1, and 0 otherwise. Transpose - given a n times m matrix M, the transpose M^T of the matrix M is a m times n matrix where M M^T = M. In other words, the rows and columns of M are interchanged to produce M^T