Final answer:
An equation to solve the given matrix multiplication (2,6,0,1) times (x1, x2) = (2,-3) can be found by setting up two linear equations: 2*x1 + 6*x2 = 2 and 0*x1 + 1*x2 = -3, which allows us to solve for x1 and x2.
Step-by-step explanation:
The question asks for the equation that can be used to solve a given matrix multiplication. The matrix is represented by (2,6,0,1) and is being multiplied by a vector (x1, x2), equaling (2,-3). To find the values of x1 and x2, we can set up a system of linear equations based on the matrix multiplication.
By treating the matrix (2,6,0,1) as a 2x2 matrix, the resulting system from the multiplication would be:
- 2*x1 + 6*x2 = 2
- 0*x1 + 1*x2 = -3
The second equation directly gives us x2 = -3. Substituting x2 into the first equation will allow us to find the value of x1. These two equations represent the system that can be used to solve for x1 and x2.