Use Matrices to Solve the System of Equations (If Possible)

question 15

Multiple Choice

Use matrices to solve the system of equations (if possible) . Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

• A) x = 5, y = -2, z = -6
• B) x = 2, y = -5, z = 6
• C) x = -2, y = -5, z = 6
• D) no solution
• E) x = 2, y = 5, z = 6

---

Definitions:

Interval Variable

An interval variable is a type of numerical data that is measured along a scale, where the distance between each point is uniform and meaningful, but does not have a true zero point.

Stepwise Regression

A method of regression analysis in which variables are added or removed from the model in a step-by-step manner based on specific criteria.

Independent Variables

Variables in an experiment that are manipulated or altered by the researcher to determine their effect on the dependent variable.

Regression Models

Statistical methods used to estimate the relationship between a dependent variable and one or more independent variables.