COLLEGE GRADUATION RATE The registrar of Computronics Institute has compiled the following statistics on the progress of the school’s students in the
a. Construct the transition matrix associated with this Markov process.
b. Compute the steady-state matrix.
c. Determine the probability that a beginning student enrolled in the program will complete the course successfully.
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Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
- 5. Consider the matrix 102 A= 440 002 In this question work to 4 decimal places throughout and give your final answer to 3 decimal places. (a) Use 4 iterations of the power method to calculate an estimate of the maximal mag- nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1) as the initial estimate of the eigenvector. Given that the the inverse of matrix A is 4 0 -4 1 =- -4 1 4 4 0 0 2 (b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of the minimal magnitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.arrow_forwardQuestion 2: Let A(G) be the set of all automorphisms of a group G. Prove that if G is a group having only two elements, then A(G) consists only of I. JLarrow_forwardQ Let E be a subset of a spacex thens - prove that: i) E≤ E 2) Eclosed iff E'SE 3 E = EVE' = E° Ud (E).arrow_forward
- Question 4: Let G be a finite abelian group of order o(G) and suppose the integer n is relatively prime to o(G). Consider the mapping : G→G defined by (y) = y". Prove that this mapping is an automorphism.arrow_forwardQuestion 5: Let G be a group, o an automorphism of G, N a normal subgroup of G. Prove that (N) is a normal subgroup of G.arrow_forwardQuestion 2: Let A(G) be the set of all automorphisms of a group G. Prove that if G is a group having only two elements, then A(G) consists only of I.arrow_forward
- CHAPTER 1: HISTORY OF COOPERATIVES AND STATE POLICIES Questions for Critical Thinking 1. Discuss the different stages in the history of the Philippine cooperative movement 2. What do you think is meant when it is stated that "one cause for the failure of cooperatives is due to non-patronage by coop members? 3. When the principle of subsidiarity is followed, what are the different manifestations of this principle? Explain. 4. Cooperatives can promote social justice in Philippine society according to the declared policy of the state on cooperatives. Why and how? 5. Why is the recognition of the nature of man neccessary in the success of the cooperative movement? 6. The interest on capital in coops is limited but there is no such limitation in corporation. Explain. 7. How is government intervention proscribed in the declared policies of the government under the present Cooperative Code. 8. Cooperatives grant patronage refund, which is not present in corporations. How do you explain this…arrow_forwardAlready got wrong Chatgpt answer Plz don't use chat gptarrow_forwardT1 T₂ T7 T11 (15) (18) 8 (12) (60) 5 T3 T6 12° 5 5 5 T8 T10 T4 (25) T5 To 1. List all the maximal paths and their weights for the graph above. 2. Give the decreasing-time priority list. 3. Schedule the project using 2 processors and the decreasing-time priority list.arrow_forward
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