When computer animators make animated movies, the computers does a lot of math in the background to make the characters and objects appear to move in relation to a camera angle. The following matrix operation helps the computer make the proper transformation for one of the objects in a shot. Analyze the operation and then answer the questions below:

[3 6 1

2 1 10

4 10 7]

[x

y

z]=

[25

20

11]

a. Convert this matrix equation into a system of equations. Explain why you decided to follow the steps you did.

b. Once you have a system of equations, use Cramer's rule to solve forx

,y

, andz

. Again, explain your decisions.**

**Click the "Insert Equation" button to start your matrix. You can copy and paste the code given below into the equation editor to start your matrix and move forward from there.

With corner brackets: [[a, b], [c, d]]

With straight brackets: |[a, b], [c, d]|

With no brackets: {:[a, b], [c, d]:}