Question

Write the values of x – y + z from the following equation: [(x + y + z), (x + y), (y + z)] = [9, 5, 7]

Answer 1

By definition of equality of matrices, we have

x + y + z = 9 ... (i) 

x + z =5 .... (ii) 

y + z =7 ... (iii) 

(i) – (ii) ⇒ x + y + z – x – z = 9 – 5 

⇒ y = 4 ... (iv) 

(ii) – (iv) ⇒ x – y + z = 5 – 4 

⇒x – y + z = 1