Question

Construct a convergent Jacobi iteration to the
system

x+5y+2z=2

(45+13)x-2y+10z=3

-4x+3y-(45+8)z=4,

Perform two iterations.

Answer #1

3×3 Systems Elimination by Addition
1) 4x-2y-2z=2
-x+3y+2z=-8
4x-5y+z=11
2)-5x-2y+20z=-28
2x-5y+15z=-27
-2x-2y-5z=-12
Please show every step in clear handwriting, so I can
figure out how to do it myself.

Solve each system by elimination.
1) -x-5y-5z=2
4x-5y+4z=19
x+5y-z=-20
2) -4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
3) -x-5y+z=17
-5x-5y+5z=5
2x+5y-3z=-10
4) 4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
5) 4r-4s+4t=-4
4r+s-2t=5
-3r-3s-4t=-16
6) x-6y+4z=-12
x+y-4z=12
2x+2y+5z=-15

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)

solve system:
2x + 3y + 2z = 3
4x – 5y + 5z = -7
-3x + 7y – 2z = 5

Solve this system of equations.
4x + 3y + z = -4
x - 3y + 2z = -25
11x - 2y +3z = -63
Write the solution as an ordered triple.
PLEASE MAKE SURE THIS IS CORRECT. I KEEP PAYING FOR THE WRONG
ANSWERS.

Solve the system using 3x3
3x-2y+z=2
5x+y-2z=1
4x-3y+3z=7

1)Test whether the Gauss -Seidel iteration converges for the
system : 2x+y+z=4,x+2y+z=4,x+y+2z=4 .Use a suitable norm in you
computation and justify the choice .

Solve the following system by Gauss elimination: x + 2y?z = 22 x
+ 5y?2z = ?17 x + 17y + 5z = ?1. Solve the system in from above by
using Cramer’s rule. First discuss the applicabililty of Cramer’s
rule to the system.

for 7-9 you will solve the following system of equation :
2x+3u+z=17 x-3y+2z=-8 5x-2y+3z=5 7) what is the solution for x? a)2
b)1 c)infinitely many solution d)no solution 8)what is the solution
for y? a)4 b)2 c)inifinitely many solutions d)no solution 9) what
is the solution for z? a)9 b)1 c)inifinitely many solutions d)no
solution

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...

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