Question

*Solve the following system of equations using matrices(row
operations). If the system has no solution, say that it is
inconsistent.*

x + 6y+ 3z = 1

3x - 3y + 3z = 3

4x + 3y + 4z = 4

Answer #1

Solve the system using row operations (or elementary
matrices).
4x -4y -3z = 21
−3x +4y +2z = -14
6x +5y -6z = 47

Use Gauss-Jordan Elimination to solve the following system of
equations.
−4x
+
8y
+
4z
= −4
−3x
+
6y
+
3z
= −3
x
−
2y
−
z
= 1

Sec 6.2
1.Write an augmented matrix for the following system of
equations.
9x-8y+6z=-1
7x-5y+2z=9
6y-8z=-9
The entries in the matrix are ?
2.use row operations on the augmented matrix as far as necessary
to to determine whether they system is independent, dependent, or
inconsistent ?
4x-6y+5x=-2
-8x+12y-10z=4
-12x+18y-15z=6
3. use row operations on the augmented matrix as far as
necessary to to determine whether they system is independent,
dependent, or inconsistent ?
5x-7y+4z=13
-5x+7y-4z=-15
-10x+14y-8z=-27
4. Solve the system by...

1. a) Find the solution to the system of linear equations using
matrix row operations. Show all your work.
x + y + z = 13
x - z = -2
-2x + y = 3
b) How many solutions does the following system have? How do you
know?
6x + 4y + 2z = 32
3x - 3y - z = 19
3x + 2y + z = 32

Solve system of equations using matrices. Make a 4x4 matrix and
get the diagonal to be ones and the rest of the numbers to be
zeros
2x -3y + z + w = - 4
-x + y + 2z + w = 3
y -3z + 2w = - 5
2x + 2y -z -w = - 4

4. Solve the system of linear equations by using the
Gauss-Jordan (Matrix) Elimination Method. No credit in use any
other method. Use exactly the notation we used in class and in the
text. Indicate whether the system has a unique solution, no
solution, or infinitely many solutions. In the latter case, present
the solutions in parametric form.
3x + 6y + 3z = -6
-2x -3y -z = 1
x +2y + z = -2

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 =...

Solve the system. If there's no unique solution, label the
system as either dependent or incomsistent.
2x+y+3z=12
x-y+4z=5
-4x+4y-4z=-20
a. Dependent system
b. inconsistent system
c.(1,4,2)
d. (4,1,2)

4. Solve the system of equations.
2x – y + z = –7
x – 3y + 4z = –19
–x + 4y – 3z = 18.
A. There is one solution (–1, –2, –3).
B. There is one solution (1, 2, 3).
C. There is one solution (–1, 2, –3).
D. There is one solution (1, –2, 3).

solve the following system and classify it consistent
or inconsistent
×+3y+3z=8
x-y+3z=4
2x+6y+6z=16

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