Asked by True
                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
            
            
        4x + 6y = 24
5x + 8y = 40
Answers
                    Answered by
            MathMate
            
    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.
    
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.
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