Question

w+x+y+z=6, 2w+2x-2y-2z=4, 7w-2x+2y+z=24, w-x+3y+7z=4

Answer #1

w ′′ − y + 2z = 3e-x
−2w ′ + 2y ′ + z = 0
2w ′ − 2y + z ′ + 2z ′′ = 0
w(0) = 1, w′ (0) = 1, y(0) = 2, z(0) = 2, z′ (0) = −2

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)

Use
Gaussian Elimination to solve and show all steps:
1. (x+4y=6)
(1/2x+1/3y=1/2)
2. (x-2y+3z=7)
(-3x+y+2z=-5)
(2x+2y+z=3)

#7 Solve for x, y and z
6x+3y+z=-27
x-3y+2z+10
17x-2y+3z=-65

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

Solve the following system of equations.
{−x+4y−z=-4
3x−y+2z=6
2x−3y+3z=−2
Give your answer as an ordered triple
(x,y,z).

Consider the following linear system:
x + 2y + 3z = 6
2x - 3y + 2z = 14
3x + y - z = -2
Use Gaussian Elimination with Partial Pivoting to
solve a solution in an approximated sense.

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 .

L(x,y,z)=(x+y+2z, x-z, 2x+3y-9z) f={(1,2,3) (-1,1,7), (3,0,5)}
determine change of basis matrices

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.

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