Ex 3.1, 6 (iii) - Chapter 3 Class 12 Matrices

Transcript

Ex 3.1 , 6 Find the value of x, y, and z from the following equation: (iii) [■8(𝑥+𝑦+𝑧@█(𝑥+𝑧@𝑦+𝑧))] = [■8(9@█(5@7))] Since matrices are equal. Their corresponding elements are equal x + y + z = 9 x + z = 5 y + z = 7 Solving these equations From (2) x + z = 5 x = 5 – z From (3) y + z = 7 y = 7 – z Putting value of x & y in (1) x + y + z = 9 (5 – z) + (7 – z) + z = 9 5 – z + 7 – z + z = 9 5 + 7 – z – z + z = 9 12 – z = 9 – z = 9 – 12 – z = – 3 z = 3 Putting z = 3 in (2) x + z = 5 x + 3 = 5 x = 5 – 3 x = 2 Putting z = 3 in (3) y + 3 = 7 y = 7 – 3 y = 4 Hence x = 2, y = 4, & z = 3