25. Open-Ended Write a matrix equation with solution

Question

12 7 -3 8
9 0 -11 1

Answer 1

Let the matrix equation be:

A * X = B

Where A is the matrix given:
12 7 -3 8
9 0 -11 1

X is a 4x1 matrix:
x
y
z
w

And B is the solution matrix:
140
13

So the matrix equation becomes:
12x + 7y - 3z + 8w = 140
9x + 0y - 11z + 1w = 13

The solution to this matrix equation is:
x = 4, y = 8, z = 10, w = 6