diff --git a/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md b/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md index ac54f76..a24807f 100644 --- a/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md +++ b/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md @@ -13,4 +13,10 @@ \end{bmatrix} \end{gathered}$$ - Same elementary operations can be used with augmented matrices, now it is with rows instead of equations. - gaussian elimination - - this is converting a matrix to **echelon form** (or row echel) \ No newline at end of file + - this is converting a matrix to **echelon form** (or row echelon form) + - this is when every leading term is a column to the left of the one below it and any zero rows are at the bottom + - once the augmented matrix is in echelon form it can be converted back into a linear system of equations (that is not in echelon form) and solved + - the pivot is the coefficient of the leading terms (or the fr) +- Gauss-Jordan elimination + - this can make it easier to find the general solution of the system + - 1. multiply each nonzero row by the inverse of the pivot so every pivot is 1 \ No newline at end of file