Question

Question 3 Write the coefficient matrix for the following systems. In each case, state if the matrix is in echelon form. a) 2 + 2x2 – 3.13 = 5 12 - 100:13 = 1

Answer 1

solution : - Griven system is 323 3 + 2x2 X2 100Hz = The coefficient matrix for this system is 1 A -3 O 1 -100 Here in matrix A each row contains Reading non-zero element and which is I, and the zero's are in ascending order: 'Hence the matrix A is in echelon form. by x - x2 tuz Na tuz au tornato.1 = 0 Here the coefficient matrix A Here matrix A each contoriza element 1. but leading the zero's (o's) are not in ascending order row-wise, Herce the matrif A is not in echelon 7 4 - 4X₂ =lo Hq = 8 au 6x = 2 The coefficient matrix is

A = -Y AS system confering leading element each row the zero's but are not isi asce Ascending order rowwise Hence o is not echelon form, (Aus) d) aut Kz + uz th = 6 Na to xz ny = 2 & torky = 6 The coefficient matrix is A= O leading zere's (o's) 1 Here in matrix A each row contains element which is and the in ascending order rowtwise, matrix A is in echelon form. are Hence the