You are here:

- Home
- Science
- Math for Kids
- Algebra
- system of linear Equation and Matrices

Advertisement

(1) Please help me solve this equation by Using Gauss-Jordan method

4x-2y=3

-2x+3y=1

(2) Find the production matrix for the following input-output and demand matrics using open model

A= [ o.1] [0.03] D= [5][10]

[0.07] [0.6 ]

My computer got hung up for awhile and I wasn't able to answer questions,

but I think that it has been freed from this problem ... at least so far, so good.

The Gauss-Jordan method makes that matrix have ones in the diagonal with 0's down below.

For the matrix

4 -2 3

-2 3 1,

the first step would be to divide the 1st row by 4 and

at the same time add half of the first row to the second row.

This would give us the matrix

1 -0.5 0.75

0 2.0 3.00 { with the numbers written with same number of digits to align them better }.

The next things to do would be to divide the 2nd row by 2, giving

1 -0.5 0.75

0 1.0 1.50.

Once in this form, the solution is x2 = 1.5.

Using x1 - 0.5x2 = 0.75, this says x1 -.75 = 0.75, so x1 = 1.5 as well.

For large matrices, this allows the matrix to be solved with far fewer steps than zeroing out the entire column.

Algebra

Answers by Expert:

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

I have solved story problems, linear equations, parabolic equations.
I have also solved some 3rd order equations and equations with multiple variables.
**Publications**

Documents at Boeing in assistance on the manufacturiing floor.**Education/Credentials**

MS at math OSU in mathematics at OSU, 1986.
BS at OSU in mathematical sciences (math, statistics, computer science), 1984.
**Awards and Honors**

Both my BS and MS degrees were given with honors.
**Past/Present Clients**

Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.