In other words, we can say that matrix A is another matrix formed by replacing each element of the current matrix by its corresponding cofactor and then taking the transpose of the new matrix formed.Įxample 1: Consider the matrix Find the Adj of A. Given a square matrix A, the transpose of the matrix of the cofactor of A is called adjoint of A and is denoted by adj A. An adjoint matrix is also called an adjugate matrix. The transpose of the product of 2 matrices is similar to the product of their transposes in reversed order =.When a scalar matrix is being multiplied by the matrix, the order of transpose is irrelevant =.The transpose of the addition of 2 matrices is similar to the sum of their transposes =.The transpose of the transpose of a matrix is that the matrix itself = A.Solution: The transpose of matrix A by interchanging rows and columns is. The matrix B is called the transpose of A.Įxample 2: Consider the matrix. By, writing another matrix B from A by writing rows of A as columns of B. (A’)’= A.Ĭonsider the matrix If A = | | of order m*n then = | | of order n*m. Clearly, the transpose of the transpose of A is the matrix A itself i.e. If A is of order m*n, then A’ is of the order n*m. The matrix obtained from a given matrix A by interchanging its rows and columns is called Transpose of matrix A.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |