Solving Systems of Equations Using Augmented Matrices

For the following elementary matrix, describe the elementary row operation.

• The second and first row were switched

• The first row was multiplied by 1/2 and added to the second

• The second row as multiplied by 1/2

• The last row was multiplied by 1/2 and added to the second

Solve the system by inverting the coefficient matrix and using (A^-1)(x)=b. Enter your answer as (x1, x2) format.

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• a

• b

• c

• d

Solve using Matrices.

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Write the augmented matrix that corresponds to the system

• A

• B

• C

• D

Solve the system.

• (3, -5, -2)

• (-4, 1, 3)

• (3, 5, 8)

• (4, 5, 2)

Use matrices to solve the system of equations for the y-coordinate.

• y = -7

• y = -3

• y = 7

• x = -3

Solve the system for the value of x.

5x + 8y = -12

3x + 5y = -7

• 1

• -1

• -4

• No solution

What is the augmented matrix of a system of equations?

• The augmented matrix is a matrix where each element represents the solution to the system of equations.

• The augmented matrix of a system of equations is a matrix where each row represents one equation, with the coefficients of the variables followed by the constant term.

• The augmented matrix is a matrix where each column represents one equation.

• The augmented matrix is a matrix where each row represents one variable.