Augmented Matrices

Solve, if possible.

4x - 2y = 2

5x - 2y + z = 7

3x + 4y - z = 3

• x = 1, y = 1, z = 4

• No solution

• Infinitely many solutions

• x = -3, y = -1, z = -1

Solve, if possible.

2x + 5y + z = -12

-x + 4y + 3z = -4

5x - 2z = -13

• x = 3, y = 1, z = 1

• No solution

• Infinitely many solutions

• x = -3, y = -1, z = -1

Solve the system using matrices.

• A

• B

• C

• D

Solve the system using matrices.

• A

• B

• C

• D

Write the augmented matrix of the system

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A matrix derived from a system of linear equations is the _____ _____ of the system.

• augmented matrix

• constant matrix

• linear matrix

• coefficient matrix

What do w, x, y and z equal in this matrix equation?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

Write the augmented matrix of the system

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• 
• 
• 

Find 2A-3B

• -3 1

  7 -1

• 1 0

  1 -4

• -4 0

  6 -1

• -14 -5

  11 -3

Solve the system using matrices.

• A

• B

• C

• D