This is sometimes referred to as the adjoint matrix. The final result of this step is called the adjugate matrix of the original.They are indicators of keeping (+) or reversing (-) whatever sign the number originally had. ![]() Note that the (+) or (-) signs in the checkerboard diagram do not suggest that the final term should be positive or negative. Continue on with the rest of the matrix in this fashion. The third element keeps its original sign. To calculate the Ajoint of a matrix follow the following steps: Step 1: Calculate the Minor of all the elements of the given matrix A. When assigning signs, the first element of the first row keeps its original sign. ![]() You must then reverse the sign of alternating terms of this new matrix, following the “checkerboard” pattern shown. ![]() Thus, the determinant that you calculated from item (1,1) of the original matrix goes in position (1,1). Step 1: calculating the Matrix of Minors, Step 2: then turn that into the Matrix of Cofactors, Step 3: then the Adjugate, and Step 4: multiply that by 1/. Place the results of the previous step into a new matrix of cofactors by aligning each minor matrix determinant with the corresponding position in the original matrix.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |