Question

Consider the following system of equations x + y + 3z = 5, x + 3y – 3z = 1, -2x – 4y – 4z = -10

(i) Convert the given system in the form AX = B 

(ii) Find A^-1 

(iii) Hence solve the system of equations.

Answer 1

(i)

(ii) i.e; AX = B, ⇒ X = A^-1 B ⇒ |A| = -24 + 10 + 6 = -8

(iii) X = A^-1B

⇒ x = 1, y = 1, z = 1