Solving Systems with Technology and Matrices

What are the two main methods discussed for solving systems of equations?

• Substitution and elimination

• Inverse matrix and augmented matrix

• Graphical and substitution

• Elimination and graphical

What form must the system of equations be in to use the matrix methods described?

• Reduced form

• Standard form

• Factored form

• Simplified form

How many rows and columns does the matrix for the coefficients have?

• 3 rows and 4 columns

• 2 rows and 3 columns

• 2 rows and 2 columns

• 3 rows and 3 columns

What does matrix B represent in the context of solving systems using matrices?

• The matrix of variables

• The matrix of coefficients

• The matrix of constants from the equations

• The identity matrix

What mathematical operation is performed to find the solution using the inverse matrix method?

• Subtraction of matrices

• Multiplication of the inverse of matrix A and matrix B

• Addition of matrices

• Division of matrices

What additional column does the augmented matrix include compared to the coefficient matrix?

• The matrix of variables

• The constants from the equations

• The identity matrix

• The matrix of coefficients

What function is used to solve the augmented matrix?

• Matrix inversion

• Gaussian elimination

• REF (Row Echelon Form)

• RREF (Row Reduced Echelon Form)

Which matrix method involves only one matrix during the solution process?

• Augmented matrix method

• Inverse matrix method

• Substitution method

• Elimination method

What is the purpose of the RREF function in matrix calculations?

• To simplify the matrix to its lowest terms

• To find the determinant of the matrix

• To multiply matrices together

• To reduce the matrix to a form where solutions are apparent

Which of the following is a correct representation of the process to solve systems using matrices?

• Set up the system, choose a method, solve using RREF

• Choose a method, set up the system, solve using matrix multiplication

• Set up the system, solve using matrix multiplication or RREF

• Solve using RREF, set up the system, choose a method