Show that each one of the following systems of linear equations is inconsistent
4x – 5y – 2z = 2
5x – 4y + 2z = – 2
2x + 2y + 8z = – 1
|A| = 4(– 36) + 5(36) – 2(18)
|A| = 0
Cofactors of A are:
C11 = (– 1)1 + 1 – 32 – 4 = – 36
C21 = (– 1)2 + 1 – 40 + 4 = – 36
C31 = (– 1)3 + 1 – 10 – 8 = – 18
C12 = (– 1)1 + 2 40 – 4 = – 36
C22 = (– 1)2 + 1 32 + 4 = 36
C32 = (– 1)3 + 1 8 + 10 = – 18
C13 = (– 1)1 + 2 10 + 8 = 18
C23 = (– 1)2 + 1 8 + 10 = – 18
C33 = (– 1)3 + 1 – 16 + 25 = 9
adj A =
=
Adj A x B =
=
Hence, The above system is inconsistent.