Mutivariable Linear Systems and Row Operations

(1)

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Mutivariable Linear Systems and Row Operations

Name___________________________________

Date________________ Period____

-1-

Write the augmented matrix for each system of linear equations.

1) xy

xy 2) xy

xy

3) xyz

xyz

xz

4) xyz

xz

xyz

Write the system of linear equations for each augmented matrix.

5)   

   6)   

  

7)

   

   

   

8)

   

   

   

(2)

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-2-

Find the reduced row-echelon form for each system of linear equations.

9) xy

xy 10) xy

xyz

xyz

11) xyz

xyz

xy

12) xy

xyz

xyz

Solve each system of linear equations using Gaussian or Gauss-Jordan elimination.

13) xy

xy 14) xyz

xyz

xz

15) xyz

xz

xyz

16) xyz

xyz

xz

(3)

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Kuta Software - Infinite Precalculus

Mutivariable Linear Systems and Row Operations

Name___________________________________

Date________________ Period____

-1-

Write the augmented matrix for each system of linear equations.

1) xy

xy

  

  

2) xy

xy

  

  

3) xyz

xyz

xz

   

   

   

4) xyz

xz

xyz

   

   

   

Write the system of linear equations for each augmented matrix.

5)   

  

xy

xy

6)   

  

xy

xy

7)

   

   

   

xyz

yz

xyz

8)

   

   

   

xyz

xz

xyz

(4)

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-2-

Find the reduced row-echelon form for each system of linear equations.

9) xy

xy

  

  

10) xy

xyz

xyz

   

   

   

11) xyz

xyz

xy

   

   

   

12) xy

xyz

xyz

   

   

   

Solve each system of linear equations using Gaussian or Gauss-Jordan elimination.

13) xy

xy

(

, 

)

14) xyz

xyz

xz

(

, , 

)

15) xyz

xz

xyz

(

z, z, z

)

16) xyz

xyz

xz

No solution.

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