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System of equations Finding A
- Thread starter bines
- Start date
How are A, B, and X connected? What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also readHello everyone,
B=150,200,150
The final solution is,
X=100
Y=200
Z=250
How do I find the A,
A is the 3*3 matrix of x,y and z coefficients.
Thank you!
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting
Hi ishuda ,
The original system of equations is,
3X-Y-Z = 100
-X+2.5Y-Z = 200
-X-Y-4Z = 250
The result is ,
X=150
Y=200
Z=150
I want to build a system of equations , when I change his results as B, and B, should be the result, what happens coefficients in A, different coefficients should be original.
In other words, I am looking for them to coefficients the right to get this result ,
X=100
Y=200
Z=250
Thank you!
The original system of equations is,
3X-Y-Z = 100
-X+2.5Y-Z = 200
-X-Y-4Z = 250
The result is ,
X=150
Y=200
Z=150
I want to build a system of equations , when I change his results as B, and B, should be the result, what happens coefficients in A, different coefficients should be original.
In other words, I am looking for them to coefficients the right to get this result ,
X=100
Y=200
Z=250
Thank you!
I'm still not sure I understand but I'll take a shot at it. You can write the original equation asHi ishuda ,
The original system of equations is,
3X-Y-Z = 100
-X+2.5Y-Z = 200
-X-Y-4Z = 250
The result is ,
X=150
Y=200
Z=150
I want to build a system of equations , when I change his results as B, and B, should be the result, what happens coefficients in A, different coefficients should be original.
In other words, I am looking for them to coefficients the right to get this result ,
X=100
Y=200
Z=250
Thank you!
x A = b
where
x = (x, y, z)
A = \(\displaystyle \begin{pmatrix} 3& -1& -1\\ -1& 2.5& -1\\ -1& -1& -4\end{pmatrix}\)
and
b = (100, 200, 250)
You say the solution to this system of equations is
x = (150, 200, 150)
as indeed it is. However, you would like to know the value of b if x were changed to
x = (100, 200, 250).
Is this correct?
If so and if you know how to multiply a row vector times a matrix, the above equation should show you how to get the solution.
Hi Ishuda ,
A small mistake, +4z should be in place -4z , in the third equation
I know the vector multiply, but I am looking for a set of equations of A,
What is the correct equations system, A, when
B=(150,200,150) and
the solution to this system of equations is
x = (100, 200, 250)
Is there a way to do this?
I can do this with Excel - Solver, but not sure it's right.
Thank you!
A small mistake, +4z should be in place -4z , in the third equation
I know the vector multiply, but I am looking for a set of equations of A,
What is the correct equations system, A, when
B=(150,200,150) and
the solution to this system of equations is
x = (100, 200, 250)
Is there a way to do this?
I can do this with Excel - Solver, but not sure it's right.
Thank you!
D
Deleted member 4993
Guest
Hi Ishuda ,
A small mistake, +4z should be in place -4z , in the third equation
I know the vector multiply, but I am looking for a set of equations of A,
What is the correct equations system, A, when
B=(150,200,150) and
the solution to this system of equations is
x = (100, 200, 250)
Is there a way to do this?
I can do this with Excel - Solver, but not sure it's right.
Thank you!
The matrix A is not unique. You can find tri-diagonal matrix by using
aii = bi/xi
Rest of the components of A in this case is assumed to be 0.