b. State the Leibnitz formula for determinants and describe how to get for an n × n-matrix nt-many terms. Explain how for a triangular matrix only one term can be non-zero. 10. State and prove Cr...
4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.) 4. (10 pts) Using the Gauss-Jordan elimination process, solve the following systems of linear equations. How many solutions are there? Can we apply Cramer's rule? Explain why (Use the matrix form of linear equations.)
Differention Equations - Can someone answer the checked numbers please? Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
Set 5 a. A staircase has 10 steps. You walk up taking one or two at a time. How many ways can you go up? We have n dollars to spend. Every day we either buy a candy for 1 dollar, or an ice cream for 2 dollars. In how many ways can we spend the money? Explain for n-5, and then conjecture for n dollars. Prove your conjecture. Define Fibonacci numbers completely. Why do you need two initial values?...
PartB (COMBINATORICS) -LEAVE ALL ANSWERA IN TERMS OF C(n,r) or factorials, Q4(a)(i ) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Su next semester. Your favorite professor, John Smith, is teaching 2 courses next semester and therefore ppose you are a math major who is behind in requirements and you must take 4 math courses you "must" take at least one of them....
Part B(COMBINATORICS) LEAVE ALL ANSWERA IN TERMS OF C(nr) or factorials Q4(a)6) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Suppose you are a math major who is behind in requirements and you must take 4 math courses and therefore next semester. Your favorite professor, John Smith, is teaching 2 courses next semester you "must" take at least one of them. If there...
\ Can anyone explain a and b how they got this answer. what formula they use P-8.2 For each ofthe following 10-point DF「s, determine a formula the l0-point IDFT Use MATLAB to check your work numerically. 1に0 (a) Xa[k] = 0 k = 1, 2, . . . ,9 (b) Xolk-1 for k = 0, 1,2, ,9 (c)Xc[k] =10 k = 0,1,2, 4, 5, 6, 8, 9 (d) Xalk]cos(2mk/5) for k 0,1,2,...,9 k=3, 7 I (a) Substituting into the inverse...
its 8.17 the one that is highlighted and I have also attached the models. Xi2: 0 1 0 a. Explain how each regression coefficient in model (8.33) is interpreted hene. b. Fit the regression model and state the estimated regression function. c. Test whether the X2 variable can be dropped from the regression model; use α 01 St ate the alternatives, decision rule, and conclusion. d. Obtain the residuals for regression model (8.33) and plot them against XiXz. Is there...
Could you please explain how can I get the answer of Q13 "only (b) " 13. (a) The conformations of some highly substituted cyclohexanes were studied (Dalton Trans 2013, 42, 13404). The two chair conformations for compound J differ by 18 kcal/mol, draw the more stable chair conformation of compound J. Include all 6 substituents and the hydrogen atoin groups associated with each vertex. Take care to create a clear drawing (11o11-boricding electrons do not need to be shown). N(CH3)2...
How can I explain b)?Thanks! QUESTION FOUR Foreign direct investment (FDID plays an important role for many countries. Countries benefit not only from the direct effects of foreign investment in local companies, but also because of"spillover effects". Describe what is meant with "spillover effects" and the type of spillover effects expected. a) (40 Marks) b) Explain why it is important to disentangle persistent "learning" effects from transitory "leaning" effects? (10 Marks) QUESTION FOUR Foreign direct investment (FDID plays an important...
10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated sludge operation that adversely affect effluent quality with origins in the engineering, hydraulic and microbiological components of the process. The real "heart" of the activated sludge system is the development and maintenance of a mixed microbial culture (activated sludge) that treats wastewater and which can be managed. One definition of a wastewater treatment plant operator is a "bug farmer", one who controls the aeration...