Question
Given 
, find the values of .x, y, z and w.
Solution
The given matrix equation is
By definition of equality of matrices, we get,
3 x = .x + 4 ...(1)
3y = 6+x+ y -(2)
3: = – I +z + w ’ ...(3)
3 w’ = 2 w + 3 ....(4)
From (1), 3 .x – .x = 4 or 2 .x = 4 ⇒ x = 2
From (4), 3 w – 2 w = 3 or w = 3
Putting x = 2 in (2), we get,
3 y = 6 + 2 + y or 2 y = 8 ⇒ y = 4
Putting w = 3 in (3), we get,
3z= – l + z + 3 or 2 : = 2 ⇒ z = l
∴ we have
x = 2, y = 4, z = 1, w = 3.
