Question

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

Answer #1

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

Solve the system of linear equations. If the system has an
infinite number of solutions, set w = t and solve for x, y, and z
in terms of t.)
x + y + z + w = 6
2x+3y - w=6
-3x +4y +z + 2w= -1
x + 2y - z + w = 0
x, y, z, w=?

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 of equations using an inverse matrix
-4x-2y+z= 6
-x-y-2z= -3
2x+3y-z= -4
Choose one:
a. (-1, 0, -2)
b. (1, 0, -2)
c. (1, 0, 2)
d. (-1, 0, 2)

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

Use Gauss-Jordan Elimination to solve the following system of
equations. Please show all the wotk identifying what row operations
you are doing in each step
2x-4y+6z-8w=-10
x-2y+z+w=2
-2x+4y+z+2w=-3
-x+3y-3z+5w=6

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

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

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 an inverse matrix to solve (if possible) the system of
linear equations. (If there is no solution, enter NO SOLUTION.)
4x
−
2y
+
3z
=
−16
2x
+
2y
+
5z
=
−30
8x
−
5y
−
2z
=
30

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 8 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 21 minutes ago

asked 23 minutes ago

asked 26 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 41 minutes ago