Linear Algebra Answers

Find the dimension of the subspace spanned by the vectors e1,e2,e3 in v4(R)

Find the dimension of the subspace spanned by the vectors (1,1,1),(-1,-1,-1) in v3(R).

A company has two manufacturers U1 and U2, four distribution centers D1, D2, D3 and D4. The following table indicates the quantities produced by each manufacturer, and the quantities that they must deliver to each of their distribution center, as well as transportation cost in dollars for one unit towards these stores.

D1 D2 D3 D4 Production
U1 3 1 2 4 650

U2 6 3 3 2 500

Demand 350 300 300 200


The company is looking to satisfy the demand while minimizing transportation costs.

A)Find an initial solution using the North-West corner method

B) Demonstrate that the solution obtained in A is an optimal solution using the
stepping stone algorithm

1. Explore systems of linear equations where the coefficients increase by 3. An instance is given.
2x+5y=8
7x+10y=13
2. Write the pattern you found as a general rule.
3. Demonstrate that your general rule works for any case of the pattern.
4. Write a paragraph to explain how your conclusion makes sense with your findings and the situation given.
5. Suggest another method to solve this investigation.
6. Please use good mathematical terminology in your explanation and do not forget to be concise, logical and complete.

solve the wave equation c^2 uxx = u tt for t ≥ 0 0 ≤ x ≤ π . Take c = 1 , take initial and boundary conditions

u(x , 0) = sin x and ut(x , 0) = 0


u( 0 , t) = u ( L , t ) =0 ?

3/5 = 2/3x

how would I go about answering this question?

if 8x - 4 = 6x - 10 find the value of 5x show work please!

the difference between the circumference and the radius of a circle is 37cm .find its area.

Solve the following system of linear equations by inversion method:
x1 + 6x2 + 4x3 = 2
2x1 + 4x2 - x3 = 3
-x1 + 3x2 + 5x3 =3

express the relationship as a mapping. then determine the domain and range. {(4,9), (6,-4), (-8,1), (10,0), (4,7)}