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- [Problem 3] Formally formally prove or disprove the following claims, using any method a) T(n) = 4T(n/8) +5 is b) T(n) = 3T(n/9) + 3 is (n²/3) (√n)(a) How many errors can C correct? How many codewords does C have? Give one reason why C is not a perfect code. (b) Determine A4; A5; A6; .....; A9. (Hint: think about what A10 = 1 means)Problem 3 (#2.1.32).Explain why (A×B)×(C×D)and A×(B×C)×D are not the same
- PROBLEM # 4: Consider the following state Matrix to AES right before the AddRoundKey step: 54 4F 4E 20 77 6E 69 54 6F 65 6E 77 20 20 65 6F Show the state of the matrix right after the AddRoundKey step using the following round key: (54 73 20 67 68 20 4B 20 616D 75 46 74 79 6E 75,(d) The given data is arr = {1, 10, 30, 15, 5, 8}. Analyze the code given in Figure 1 line by line based on this data to calculate the time complexity. Next, define what is the time complexity to search the data? Provide your answer in Table 1. int search (int arr[], int n, int x) (int i; for (i = 0; i(ii) (a) What is the smallest d > 0 for which there might be a length 8 perfect d-error correcting code over F7?Please help with this question!(d) The given data is arr = {1, 10, 30, 15, 5, 8}. Analyze the code given in Figure 1 line by line based on this data to calculate the time complexity. Next, define what is the time complexity to search the data? Provide your answer in Table 1. int search (int arr[], int n, int x) (int i; for (i = 0; i................I need the answer as soon as possible(20pts) Consider the matrixA =−2 11−10 5(a) Determine, by hand, an SVD of A, A = UΣVT. The SVD is not unique,so find the one with the minimum number of minus signs in U and V . List thesingular values σ1 and σ2, and the left and right singular vectors.(b) Find A−1 not directly, but via the SVD. Check your result by typing inv(A)in MATLAB or calculating A−1 by other methods.(c) Find the eigenvalues λ1 and λ2 of A. Verify that detA = λ1λ2 and |detA| =σ1σ2Question 3 In 12–17, use the IVT to verify each function has a root in the given interval(s). Then use the Bisection Algorithm to narrow the location of that root to an interval of length less than or equal to 0.1. f(x) = x^2 − 2 on [0, 3] Full explain this question and text typing work only thanksRecommended textbooks for youComputer Networking: A Top-Down Approach (7th Edi…Computer EngineeringISBN:9780133594140Author:James Kurose, Keith RossPublisher:PEARSONComputer Organization and Design MIPS Edition, Fi…Computer EngineeringISBN:9780124077263Author:David A. Patterson, John L. HennessyPublisher:Elsevier ScienceNetwork+ Guide to Networks (MindTap Course List)Computer EngineeringISBN:9781337569330Author:Jill West, Tamara Dean, Jean AndrewsPublisher:Cengage LearningConcepts of Database ManagementComputer EngineeringISBN:9781337093422Author:Joy L. Starks, Philip J. Pratt, Mary Z. LastPublisher:Cengage LearningPrelude to ProgrammingComputer EngineeringISBN:9780133750423Author:VENIT, StewartPublisher:Pearson EducationSc Business Data Communications and Networking, T…Computer EngineeringISBN:9781119368830Author:FITZGERALDPublisher:WILEYComputer Networking: A Top-Down Approach (7th Edi…Computer EngineeringISBN:9780133594140Author:James Kurose, Keith RossPublisher:PEARSONComputer Organization and Design MIPS Edition, Fi…Computer EngineeringISBN:9780124077263Author:David A. Patterson, John L. HennessyPublisher:Elsevier ScienceNetwork+ Guide to Networks (MindTap Course List)Computer EngineeringISBN:9781337569330Author:Jill West, Tamara Dean, Jean AndrewsPublisher:Cengage LearningConcepts of Database ManagementComputer EngineeringISBN:9781337093422Author:Joy L. Starks, Philip J. Pratt, Mary Z. LastPublisher:Cengage LearningPrelude to ProgrammingComputer EngineeringISBN:9780133750423Author:VENIT, StewartPublisher:Pearson EducationSc Business Data Communications and Networking, T…Computer EngineeringISBN:9781119368830Author:FITZGERALDPublisher:WILEY