![]() To define the adjoint of a matrix, first, we need to understand another term called transpose of a matrix and cofactors. Let’s discuss the adjoint of a matrix example to understand this clearly. We can only find the adjoint of a square matrix. Adjoining of the matrix A is denoted by adj A. The adjoint of matrix A = nxn is mathematically equated as the transpose of the matrix nxn, where A ij is the cofactor of the element a ij. A general way of expressing matrices is m x n or m by n where m is the number of rows and n is the number of columns. Matrices are defined by rows and columns. Knowing what exactly a matrix is and its uses make it all easy to understand the adjoint and inverse of a matrix. The expression to show an element of the matrix is A= a ij where the element is in the i th row and j th column. Later in 1913 an English mathematician, Cullis used the box bracket and also developed a way to express matrices. Matrix is derived from a Latin word that means ‘womb’. The term ‘matrix’ was used by James Joseph Sylvester in 1850. Matrix is a mathematical concept that is used to solve linear equations primarily. ![]()
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