Solve for u, x, y, and z in the given matrix equation.  

  3x-3     2        3                 2    u    3 

    3        9      y-3       =       3    9    8  

   3z      -2        3                  9   -2   3

Matrix calculations are different from regular calculations of scalar numbers hence, a set of matrix rules are followed to solve these questions.

Answer: The values of u, x, y, z in the given matrix equation are 2, 5 / 3, 11 and 3 respectively.

Let's look into the stepwise solution.

Explanation:

Given matrix:

  3x-3      2        3                  2    u    3 

    3         9      y-3       =        3    9    8  

   3z       -2        3                  9   -2    3

When two matrices are equal, every element situated at the same positions have equal values in both the matrix.

Therefore,

3x - 3 = 2

⇒ x = 5 / 3

y - 3 = 8

⇒ y = 11

3z = 9

⇒ z = 3

u = 2

Thus, the values of u, x, y, z are 2, 5 / 3, 11 and 3 respectively.