# Algebra, Matrices

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Question description

Assignment 11.1: Applying Matrices

Complete the following problems. Be sure to show all work.

1)Write the augmented matrix for each system of linear equations.

a.

b.

2)Write the system of equations represented by the augmented matrix.

a.

b.

3)Solve each system of equations using matrices. Use Gaussian elimination with substitution or Gauss-Jordan elimination.

a.

b.

c.

4)At the high school championship game, the Cougars beat the Lions 31 to 17. The total score came from 14 scoring plays. The scoring plays consisted of touchdowns, extra-point kicks, and field goals. Touchdowns are worth 6 points each, extra-point kicks are worth 1 point each, and field goals are worth 3 points each. The number of touchdowns was equal to the number of extra-point kicks. Write a linear system to represent this game. Use matrices to then solve the system. How many touchdowns, extra-point kicks, and field goals occurred in the game?

5)Evaluate each determinant.

a.

b.

c.

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