Final answer:
The matrix equation represented by x=[[-12],[30]] is Ax = b, where A is the coefficient matrix and b is the constant matrix. The provided x= [[-12],[30]] represents the solution to this matrix equation.
Step-by-step explanation:
The matrix equation represented by x=[[-12],[30]] is:
Ax = b
where A is the coefficient matrix and b is the constant matrix.
In this case, x=[[-12],[30]] represents the solution to the matrix equation because when we multiply the coefficient matrix A with x, we obtain the constant matrix b.
So the equation can be written as:
Ax = b
[[a, b], [c, d]][[-12],[30]] = [[e], [f]]
Where a, b, c, d, e, and f are constants representing the elements of the matrices.