Solving simultaneous equations using the （解联立方程使用）.pdfVIP

Solving simultaneous equations using the ✏ inverse matrix 8.2 ✒ ✑ Introduction The power of matrix algebra is seen in the representation of a system of simultaneous linear equations as a matrix equation. Matrix algebra allows us to write the solution of the system using the inverse matrix of the coefficients. In practice the method is suitable only for small systems. Its main use is the theoretical insight into such problems which it provides. ✬ • be familiar with the basic rules of matrix ✩ algebra Prerequisites • be able to evaluate × 2and 3 × 3 determinants Before starting this Block you should . . . • be able to find the inverse of × 2and ✫ 3 × 3 matrices ✪ Learning Outcomes After completing this Block you should be able to . . . Learning Style use the inverse matrix of coefficients to To achieve what is expected of you . . . solve a system of two linear simultaneous equations allocate sufficient study time use the inverse matrix of coefficients to solve a system of three linear simultane- ous equations briefly revise the prerequisite material Recognise and identify cases where there attempt every guided exercise and most is no unique solution of the other exercises