ELHS Solving System of Equations Using Matrices Gaussian Elimination Exercises

Solve the following 2×2 system of equations by hand using matrices (also known as Gaussian Elimination). That is, transform the augmented matrix into reduced row echelon form (rref – ones on the diagonal and zeros above and below the diagonal). Write your solution as an ordered pair. 4x – 3y = -1 x + 2y = 19

1. Solve the following 2×2 system of equations by hand using matrices (also known as
Gaussian Elimination). That is, transform the augmented matrix into reduced row echelon
form (rref – ones on the diagonal and zeros above and below the diagonal). Write your
solution as an ordered pair.
4x – 3y = -1
x + 2y = 19
2. Solve the following 3×3 system of equations by hand using matrices (also known as Gauss-
Jordan Elimination). That is, transform the augmented matrix into row echelon form (ref –
ones on the diagonal and zeros below the diagonal), change the reduced matrix back into a
system of equations to solve for all the variables. Write your solution as an ordered triple.
x + y – z= 6
3x – 2y +z = -5
x + 3y – 2z = 14