Question

If the system below were written as a matrix equation, by which matrix could you multiply both sides to obtain a solution?
4x + 6y = 24
5x + 8y = 40

Answer 1

If we pre-multiply both sides of the equation by the inverse of the square matrix,
m=
4 6
5 8
b=
24
40

m-inverse=
4 -3
-5/2 2

and
m-inverse * B =
-24
20

we get an identity matrix on the left, and the solution vector on the right, i.e. x=-24, y=20.