Me which is the correct coefficient matrix for this system? 3x - 4y = 12 x + 6y = 10

As per the matrix theory the given system of equations can be written as:

....................(Equation 1)

Where, A is the Coefficient Matrix (always a square matrix),

X is the variables' matrix (always a column matrix), and

B is the Constant Matrix (again always a column Matrix).

Since our's is a two system equation in two unknowns, we will have the coefficient matrix as a 2x2 square matrix and the other two matrices will be 2x1 column matrices.

Thus, the given system in terms of matrices will be:

Comparing the above equation with (Equation 1) we can clearly see that the correct coefficient matrix of the given system is:

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1