A Gentle Introduction to Matrix Operations for Machine Learning - Machine Learning Mastery

We can transpose a matrix in NumPy by calling the T attribute. Running the example first prints the matrix as it is defined, then the transposed version. The transpose operation provides a short notation used as an element in many matrix operations. Matrix inversion is a process that finds another matrix that when multiplied with the matrix, results in an identity matrix. Given a matrix A, find matrix B, such that AB or BA In. The operation of inverting a matrix is indicated by a -1 superscript next to the matrix; for example, A -1. The result of the operation is referred to as the inverse of the original matrix; for example, B is the inverse of A. A matrix is invertible if there exists another matrix that results in the identity matrix, where not all matrices are invertible. A square matrix that is not invertible is referred to as singular. Whatever A does, A -1 undoes.