question_answer 60)

Examine the consistency of the system of equations 3x – y – 2z = 2; 2y – z = –1; 3x – 5y = 3  

Answer:

The given system of equations can be expressed as AX = B, where                                           = 3(0 ? 5) + 1 (0 + 3) ? 2 (0 ? 6)             = ?15 + 3 + 12 = 0       A11 = (?1)1+1(0 ? 5) = ?5;       A12 = (?1)1+2(0 + 3) = ?3;       A13 = (?1)1+3(0 ? 6) = ?6;       A21 = (?1)2+1(0 + 10) = 10;       A22 = (?1)2+2(0 ? 6) = 6;       A23 = (?1)2+3(?15 + 3) = 12       A31 = (?1)3+1(1 + 4) = 5;       A32 = (?1)3+2(?3 ? 0) = 3;       A33 = (?1)3+3(6 ? 0) = 6;                   (adj A) B =             Therefore given system of equations is inconsistent.