Question

**Use Gauss
Elimination with partial pivoting method to find x1, x2,and x3 for
the following set of linear equations. You should show all your
work in details. Verify your solutions**

**2X _{1}
+ X_{2} - X_{3} = 1**

**5X _{1}
+ 2X_{2} + 2X_{3} = -4**

**3X _{1}
+ X_{2} + X_{3} = 5**

Answer #1

solve the following linear system by gauss-jordan
method
x1 + x2 - 2x3 + x4 = 8
3x1 - 2x2 - x4 = 3
-x1 + x2 - x3 + x4 = 2
2x1 - x2 + x3 - 2x4 = -3

3. Consider the system of linear equations
3x1 + x2 + 4x3 − x4
= 7
2x1 − 2x2 − x3 + 2x4
= 1
5x1 + 7x2 + 14x3 −
8x4 = 20
x1 + 3x2 + 2x3 + 4x4
= −4
b) Solve this linear system applying Gaussian forward
elimination with partial pivoting and back ward substitution, by
hand. In (b) use fractions throughout your calculations.
(i think x1 = 1, x2= -1, x3 =1,
x4=-1, but i...

in parts a and b use gaussian elimination to solve the systems
of linear equations. show all steps.
a. x1 - 4x2 - x3 + x4 = 3
3x1 - 12 x2 - 3x4 = 12
2x1 - 8x2 + 4x3 - 10x4 = 12
b. x1 + x2 + x3 - x4 = 2
2x1 + 2x2 - 2x3 = 3
2x1 + 2x2 - x4 = 2

Linear Algebra
find all the solutions of the linear system using Gaussian
Elimination
x1-x2+3x3+2x4=1
-x1+x2-2x3+x4=-2
2x1-2x2+7x3+7x4=1

given the system of equations
-3x2+7x3=4
x1+2x2-x3=0
5x1-2x2=3
a. compute the
determinant
b. use cramers rule to solve
for the x's.
c. use gauss elimination with
partial pivoting to solve for the x's.
d. substitute your results
back into the original equations to check your solution.

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.)
x1
+
2x2
+
8x3
=
6
x1
+
x2
+
4x3
=
3
(x1,
x2, x3)
=
2)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...

For parts a and b, find a basis for the solution set of the
homogeneous linear systems. Show all algebraic steps.
a. x1 + x2 + x3 = 0.
x1 - x2 - x3 = 0
b. x1 + 2x2 - 2x3 + x4 = 0.
x1 - 2x2 + 2x3 + x4 = 0.
for parts c and d use your solutions to parts a and b to find
all solutions to the following linear systems. show all algebraic...

Solve the following system of equations using LU factorization
with partial pivoting:
2x1 − 6x2 − x3 = −38
−3x1 − x2 + 7x3 = −34
−8x1 + x2 − 2x3 = −40
I would like to write a matlab code to solve the problem without
using loops or if statements. All i want is a code to swap the
rows. I can solve the rest. Thank you in advance.

Use Gaussian elimination to solve the following system of linear
equations.
2x1 -2x2 -x3
+6x4 -2x5=1
x1 - x2
+x3 +2x4 - x5=
2
4x1 -4x2
-5x3 +7x4
-x5=6

Consider the following system of equations.
x1- x2+ 3x3 =2
2x1+ x2+ 2x3 =2
-2x1 -2x2 +x3 =3
Write a matrix equation that is equivalent to the system of
linear equations.
(b) Solve the system using the inverse of the coefficient
matrix.

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