using matrices to solve systems of equations · using matrices to solve systems of equations lesson...
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Skills PracticeUsing Matrices to Solve Systems of Equations
Less
on
4-8
Chapter 4 59 Glencoe Algebra 2
NAME ______________________________________________ DATE______________ PERIOD _____
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Write a matrix equation for each system of equations.
1. x � y � 5 2. 3a � 8b � 162x � y � 1 4a � 3b � 3
3. m � 3n � �3 4. 2c � 3d � 64m � 3n � 6 3c � 4d � 7
5. r � s � 1 6. x � y � 52r � 3s � 12 3x � 2y � 10
7. 6x � y � 2z � �4 8. a � b � c � 5�3x � 2y � z � 10 3a � 2b � c � 0x � y � z � 3 2a � 3b � 8
Solve each matrix equation or system of equations by using inverse matrices.
9. � � 10. � �
11. � � 12. � �
13. � � 14. � �
15. p � 3q � 6 16. �x � 3y � 22p � 3q � �6 �4x � 5y � 1
17. 2m � 2n � �8 18. �3a � b � �96m � 4n � �18 5a � 2b � 14
⎡15⎤⎣ 2⎦
⎡m⎤⎣n ⎦
⎡ 5 6⎤⎣12 �6⎦
⎡25⎤⎣12⎦
⎡ c⎤⎣d⎦
⎡3 12⎤⎣2 �6⎦
⎡15⎤⎣23⎦
⎡m⎤⎣n ⎦
⎡7 �3⎤⎣5 4⎦
⎡�1⎤⎣ 7⎦
⎡a⎤⎣b⎦
⎡5 8⎤⎣3 1⎦
⎡ 6⎤⎣�3⎦
⎡ x⎤⎣ y⎦
⎡4 3⎤⎣1 3⎦
⎡�7⎤⎣�1⎦
⎡w⎤⎣ z ⎦
⎡1 3⎤⎣4 3⎦