How do you solve #6x + 2y = -16# and #5x + 6y = 4# using matrices?
Use the matrix equation and the inverse matrix to find
We begin by writing our system of equations in matrix form
We then use the identity that a matrix,
Multiplying both sides of our original matrix equation by the inverse matrix we get:
which simplifies to
since any matrix or vector multiplied by the identity matrix is itself. We now need to find
Substitute this into the equation to find