Write a matlab program to solve the linear system of equations ax = b, where a ∈ rn×n and b ∈ rn . the program should have the following components: • a function (subroutine) for gaussian elimination with partial pivoting. • a function for column oriented version of forward substitution to solve a lower triangular system lx = b. • a function for column oriented version of backward substitution to solve an upper triangular system ux = b.

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Suppose there is a relation r(a, b, c) with a b+-tree index with search keys (a, b).1. what is the worst-case cost of finding records satisfying 10 < a < 50 using this index, in terms of the number of records n1, retrieved and the height h of the tree? 2. what is the worst-case cost of finding records satisfying 10 < a < 50 and 5 < b < 10 using this index, in terms of the number of records n2 that satisfy this selection, as well as n1 and h defined above? 3. under what conditions on n1 and n2, would the index be an efficient way of finding records satisfying the condition from part (2)?

Hey so i was just trying out some game hacks so i took a paste from online and built it in my visual studio and then suddenly my computer was working or clicking on stuff on its own am i hacked?