Solving Systems of Equations with Matrices

What does the variable 'A' represent in the matrix equation Ax = B?

• The constant matrix

• The variable matrix

• The identity matrix

• The coefficient matrix

In a two-variable system of equations, what form should the equations be written in?

• Point-slope form

• Standard form

• Slope-intercept form

• Quadratic form

What is the first step in finding the inverse of a 2x2 matrix?

• Switching the elements of the right diagonal

• Adding the elements of the left diagonal

• Finding the determinant

• Multiplying by the identity matrix

What is the determinant of the matrix with elements 2, 1, -1, and -3?

• 5

• -6

• 6

• -5

What is the solution to the system of equations with the coefficient matrix [[2, 1], [-1, -3]] and constant matrix [6, 2]?

• [4, -3]

• [3, -1]

• [4, -2]

• [2, -1]

How many equations are needed to solve a system with three variables?

• Two

• One

• Four

• Three

In a three-variable system, what should the constant matrix contain?

• The constants from the right side of the equations

• The variables themselves

• The identity matrix

• The coefficients of the variables

What is the first step in using a calculator to solve a three-variable system?

• Finding the determinant

• Entering the coefficient matrix

• Entering the constant matrix

• Multiplying the matrices

What is the x-value solution for the three-variable system with the coefficient matrix [[-4, -5, 3], [1, 1, -1], [4, 3, -6]] and constant matrix [-9, 2, 14]?

• 14

• -13

• 8

• -7

What is the z-value solution for the three-variable system with the coefficient matrix [[-4, -5, 3], [1, 1, -1], [4, 3, -6]] and constant matrix [-9, 2, 14]?

• -7

• 8

• 14

• -13