• We’re currently investigating an issue related to the forum theme and styling that is impacting page layout and visual formatting. The problem has been identified, and we are actively working on a resolution. There is no impact to user data or functionality, this is strictly a front-end display issue. We’ll post an update once the fix has been deployed. Thanks for your patience while we get this sorted.

Linear Algebra help...

O

Orsorum

Lifer
This should be a fairly simple problem... but for some reason, I'm not understanding it.

Let x_ijkl (for i,j,k,l equal to 1,2) be the unknowns (variables). We have 16 total variables. Let 'a' be a number which will be determined later. Consider the following system of linear equations:

x_1jk1 = ax_11jk for j = 1,2, k = 1,2
x_1jk2 = ax_21jk + x_11jk for j = 1,2, k = 1,2
x_2jk1 = ax_12jk for j=1,2, k = 1,2
x_2jk2 = ax_22jk + x_12jk

a) rewrite the system of equations in matrix form

I guess I'm just confused as to how the subscripts work in this one... I'm assuming that i and j determine the spot in the matrix... so, then, what to k and l represent?
 
It's simple, you have 16 independent variables, named x1111, x1112, etc
You write all the equations and you will have a 16x16 matrix (with lots of coefficients equals to 0)
So it's bidimensional.
Or if you want, you may "rename" variables x1111=Xa, x1112=Xb, x1113=Xc etc.
 
You must log in or register to reply here.

TRENDING THREADS

Back
Top