This is a physical chem assignment, with lots of math works about matrix and vectors. some questions need to plot graph with excel.
1a. give transition matrix
1b. give equilibrium population w/ atleast 3 significant digits, and the graph on paper. Excel/python file should show evolution
1c. give secular equation
1d. show use of polynomial division. show solution to quadratic equation. Use of Newton Raphson is also accepted (shown in Excel file). give three eigenvalues
1e. give eigenvectors for each eigenvalue. Show work
1f. find the linear combination of the eigenvectors that give the initial population vector. show work
1g. give equation (that describes population after n application of transition matrix: see notes)
1h. give some sort of graph using two data sets (one from 1b and one using 1g) that would show the comparison between the two data sets. Excel/python file included.
2a. graph on paper. Excel/python file included
2b. Expand the vector. graph on paper. Excel/python file included
For question 1f, you have to solve a 3x3 system of equations with square roots in the components of the matrix. This is really hard to do by hand. I will accept coefficients determined using Wolfram Alpha. Matrix input in Wolfram Alpha has the form {{A11, A12, A13},{A21, A22, A23},{A31, A32, A33}}.
Project budget Rs 3000/ $50
Need it in 24 hrs. Number of words are not a criteria. Must have solution to all problems with steps. That is all.
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