Question

3) For the given system of equations:

x+y-z=-6

x+2y+3z=-10

2x-y-13z=3

Rewrite the system as an augmented matrix. [4 pt]

Find the reduced row echelon form of the matrix using your
calculator, and write it in the spacebelow. [4 pt]

State the solution(s) of the system of equations. [3 pt]

Answer #2

answered by: anonymous

Write the system of equations as an augmented matrix. Then solve
the system by putting the matrix in reduced row echelon form.
x+2y−z=-10
2x−3y+2z=2
x+y+3z=0

1. Solve the following system of equations by the elimination
method:
2x+y-z=7
x+2y+z=8
x-2y+3z=2
2. Solve the following system of equations by using row
operations on a matrix:
2x+y-z=7
x+2y+z=8
x-2y+3z=2

Consider the system of linear equations 2x+y-3z=-7 x+y-z=-1
4x+3y-5z=-9 (a)Represent this system as a matrix A (b)Use row
operations to transform A into row echelon form Use your answer to
(b) to find all non-integer solutions of the system

Write the augmented matrix of the given system of equations.
x + y - z = 8
5x - 3y = 4
6x + 2y - z = 2

Solve each system of equations
x-2y+3z=7
2x+y+z=4
-3x+2y-2z=-10

Use Gauss-Jordan method (augmented matrix method) to
solve the following systems of linear equations. Indicate whether
the system has a unique solution, infinitely many solutions, or no
solution. Clearly write the row operations you use. (a) (5 points)
x + y + z = 6 2x − y − z = 3 x + 2y + 2z = 0 (b) (5 points) x − 2y
+ z = 4 3x − 5y + 3z = 13 3y − 3z =...

Use Gauss-Jordan method (augmented matrix method) to
solve the following systems of linear equations.
Indicate whether the system has a unique solution, infinitely many
solutions, or no solution. Clearly write
the row operations you use.
(a)
x − 2y + z = 8
2x − 3y + 2z = 23
− 5y + 5z = 25
(b)
x + y + z = 6
2x − y − z = 3
x + 2y + 2z = 0

The augmented matrix below represents a system of linear
equations associated with a real world prob-
lem. The augmented matrix has already been completely row
reduced.
1 0 6 12 0 1 −2 0 0000
(a) Use the reduced matrix to write down the parametric solution
for the system as a point (x, y, z).
(b) Assuming that x, y, and z represent the number of whole
items, determine how many “actual” solutions this system has, and...

Consider a system of linear equations with augmented matrix A
and coefficient matrix C. In each case
either prove the statement or give an example showing that it is
false.
• If there is more than one solution, A has a row of
zeros.
• If A has a row of zeros, there is more than one solution.
• If there is no solution, the row-echelon form of C has a row of
zeros. • If the row-echelon form of...

for 10-12 you will solve the following system of equations:
2x+y+z=-2 2x-y+3z=6 3x-5y+4z=7 10) what is the solution for x? a)2
b)-3 c)infinitely many solutions d)no solution 11) what is the
solution for y? a)2 b)0 c)inifinitely many solution d)no solution
12) what is the solution for z? a)4 b)-8 c)infinitely many
solutions d)no solutions

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