Question

Which of the following matrices best represents the given system of equations?

A. x+3y + 3z=-12
B. -3x-y-z=4
C. -x+2y=-7

Answer 1

The matrix that best represents the given system of equations is Option B.

Step-by-step explanation:

Based on the given system of equations, we can determine the matrix that represents it. The given equations are:

A. x + 3y + 3z = -12

B. -3x - y - z = 4

C. -x + 2y = -7

To represent these equations in matrix form, we can write:

• Equation A: [1, 3, 3] [x, y, z] = [-12]
• Equation B: [-3, -1, -1] [x, y, z] = [4]
• Equation C: [-1, 2, 0] [x, y, z] = [-7]

Therefore, the correct matrix representation of the given system of equations is Option B.