If find x, y, z, ω.
Given two matrices are equal.
We know that if two matrices are equal then the elements of each matrices are also equal.
∴x = 3 …… (1)
And 3x – y = 2 …… (2)
And 2x + z = 4 …… (3)
3y – ω = 7 …… (4)
Putting the value of x in equation (2)
3×3 – y = 2
⇒ 9 – y = 2
⇒ y = 9 – 2
⇒ y = 7
Now, putting the value of y in equation (4)
3×7 – ω = 7
⇒ 21 – ω = 7
⇒ ω = 21 – 7
⇒ ω = 14
Again, Putting the value of x in equation (3)
2×3 + z = 4
⇒ 6 + z = 4
⇒ z = 4 – 6
⇒ z = – 2
∴ x = 3, y = 7, z = – 2 and ω = 14