Matrices

1.     Write a matrix representing the system of equations

                               x+2y+z=5

                              2x-y+2z=15

                             3x+y-z=8

 

 

Solve the system by transforming your matrix into reduced row echelon form. State the solution as an ordered triple.

Answer:

 

(4, -1 , 3)

 

2.

Multiply the matrices.

                    -1    2    0              2     -3

                     3     -2   4     x      7       -1

                    5    -1     6            1        2

Answer:

 

12   1 

-4    1

-11   28

 

 

 

3. Solve the system of equations by forming a matrix equation. State your answer as an ordered pair.

 

    x+2y=-7

   -3x-5y=23

 

Answer: (-11,2)



explanation : I took the test