MATLAB homework question

I have an assignment that requires us to get an inverse of a matrix to get an answer. I understand how to do that part, I just dont understand how to build the matrix. Hopefulyl yhe cut and paste will work right since the assignment is in acrobat. I dont have much written in the way of code yet, and I would prefer not to get an exact answer. But more of a hint or clue how to go about this. Any help would be great! I just pasted it and its a mess......I tried to clean it up. I just dont understand how to get the A part of Ax=b. I know ihave to use a for loop but I cant figure out how....so any help youd be great! Thanks.

The temperature at any interior point i in the fin can be expressed implicitly as a function of its neighbors, as: Ti−1+(−C−2)Ti+Ti+1=−CTamb i=2..N1

C=(Δx2⋅h⋅P)/k⋅Ac

The equation for that temperature is determined by how much heat,q, is being sucked up from the base. T2−T1=−Δx⋅q/(k * Ac)

If we divide the fin up into N=5 points, the set of equations would look like this: [−1 1 0 0 0 1 −C−2 1 0 0 0 1 −C−2 1 0 0 0 1 −C−2 1 0 0 0 0 1] [T1 T2 T3 T4 T5]= [−Δxq k⋅Ac −CTamb −CTamb −CTamb TAmb]

The parameters that you will need: Fin length = 0.05 m Conductivity, k=60 W/m/C Convection coefficient, h=150 W/m2/C Ambient air temperature, Tamb=27 C Fin diameter, D = 0.005 m Perimeter, P= D Area Ac = 0.25  D2 Heat flux into the fin, q=1 W.

Answer 1

[Logeshwari S]

Find the maxima and minima for the following functions: f(x, y) = x 4 + y 4 − 2x 2 + 4xy − 2y 2 .