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Ex 3.1, 6 (ii) - Chapter 3 Class 12 Matrices (Term 1)
Last updated at March 30, 2023 by Teachoo
Chapter 3 Class 12 Matrices
Serial order wise
Transcript
Ex 3.1 , 6 Find the value of x, y, and z from the following equation: (ii) [ 8(x+y&[email protected]+z&xy)] = [ 8(6&[email protected]&8)] Since matrices are equal. Their corresponding elements are equal x + y = 6 5 + z =5 xy = 8 Solving these equations From (2) 5 + z = 5 z = 5 5 z = 0 From (1) x + y = 6 x = 6 y From (3) xy = 8 Putting x = 6 y (6 y) y = 8 6y y2 = 8 y2 6y = - 8 y2 6y + 8 = 0 y2 4y 2y + 8 = 0 y2 (y 4) 2(y 4) = 0 (y 2) (y 4) = 0 Hence y = 2 and y = 4 Hence x = 2, y = 4 , z = 0 or x = 4, y = 2, z = 0
