Use the Gauss-Jordan elimination method to solve the following
system of linear equations. State clearly whether...
Use the Gauss-Jordan elimination method to solve the following
system of linear equations. State clearly whether the system has a
unique solution, infinitely many solutions, or no solutions. { ? +
2? = 9
1) Solve the system of linear equations, using the Gauss-Jordan
elimination method. (If there is no solution, enter NO SOLUTION. If
there are infinitely many solutions, express your answer in terms
of the parameters t and/or s.)
3y
+
2z
=
1
2x
−
y
−
3z
=
4
2x
+
2y
−
z
=
5
(x, y, z)
=
2) Solve the system of linear equations, using the Gauss-Jordan
elimination method. (If there is no solution, enter NO SOLUTION....
1) Solve the system of linear equations using the Gauss-Jordan
elimination method.
2x
+
4y
−
6z
=
56
x
+
2y
+
3z
=
−2
3x
−
4y
+
4z
=
−21
(x, y, z) =
2) Solve the system of linear equations using the Gauss-Jordan
elimination method.
5x
+
3y
=
9
−2x
+
y
=
−8
(x, y) =
Please Answer 1-3 for me
1. Solve the system of linear equations using the Gauss-Jordan
elimination method.
2x1
−
x2
+
3x3
=
−16
x1
−
2x2
+
x3
=
−5
x1
−
5x2
+
2x3
=
−11
(x1, x2, x3) = ( )
2. Formulate a system of equations for the situation below and
solve.
For the opening night at the Opera House, a total of 1000 tickets
were sold. Front orchestra seats cost $90 apiece, rear orchestra
seats...
Solve the following system of equations using Gaussian or
Gauss-Jordan elimination.
w + x + y + z = -2
2w +2x - 2y - 2z = -12
3w - 2x + 2y + z = 4
w - x + 7y + 3z = 4
Use either Gaussian elimination or Gauss-Jordan elimination to
solve the given system or show that no solution exists. (Please
show clear steps and explain them)
x1
+
x2
+
x3
=
7
x1
−
x2
−
x3
=
−3
3x1
+
x2
+
x3
=
11
Solve the system using either Gaussian elimination with
back-substitution or Gauss-Jordan elimination. (If there is no
solution, enter NO SOLUTION. If the system has an infinite number
of solutions, express x, y, z, and
w in terms of the parameters t and
s.)
4x
+
12y
−
7z
−
20w
=
20
3x
+
9y
−
5z
−
28w
=
36
(x, y, z, w) = ( )
*Last person who solved this got it wrong
Use the Gauss–Jordan method to
determine whether each of the following linear systems has no
solution, a unique solution, or an infinite number of solutions.
Indicate the solutions (if any exist).
i.
x1+ x2 +x4
= 3
x2 + x3 = 4
x1 +
2x2 + x3 + x4 = 8
ii. x1 + 2x2 +
x3 = 4
x1 +
2x2 = 6
iii.
x1 + x2 =1
2x1 + x2=3
3x1 + 2x=...
in parts a and b use gaussian elimination to solve the system of
linear equations. show all algebraic steps.
a. x1 + x2 + x3 = 2
x1 - x3 = -2
2x2 + x3 = -1
b. x1 + x2 + x3 = 3
3x1 + 4x2 + 2x3 = 4
4x1 + 5x2 + 3x3 = 7
2x1 + 3x2 + x3 = 1