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Matrices – Matrix for Class 12 Mathematics Solutions Order of a Matrix There may be any number of rows and any number of columns in a matrix. If there are m rows and n columns in matrix A, its order is m x n and it is read as an m x n matrix. Transpose of a Matrix The transpose of a given matrix A is formed by interchanging its rows and columns and is denoted by A’. Symmetric Matrix A square matrix A is said to be a symmetric matrix if A’ = A. Skew-Symmetric Matrix A square matrix A is said to be a skew-symmetric if A’ = – A. all elements in the principal diagonal of a skew-symmetric matrix are zeroes. Addition of Matrix If A and B are any two given matrices of the same order, then their sum is defined to be a matrix C whose respective elements are the sum of the corresponding elements of the matrices A and B and we write this as C = A + B. Types: Row matrix:  A row matrix has only one row but any number of columns. Column matrix:  A column matrix has only one column but a