Q1/ Solve the following by using MATLAB

Q: 4- if q=[1 5 6 8 3 2 459 10 11,x=[ 357 8 31 2 4 11 5 91, then: a) find elements of (q) that are…

A: Please find the answer below

Q: Use the sub method to solve the following 2 computer alogorithsm/discrete math A)T(n) = 4T(n/4) + 2…

A: T(n) = 4T(n/4) + 2  T(n/4) = 4T(n/4^2) + 2 So, T(n) = 4 { 4 T(n/4^2) +2} +2 T(n) = 4^2 T(n/4^2) + 2…

Q: In Matlab practice matrix operations with for loops. Create a random matrix 10*10 in size, e.g.…

A: Algorithm :  Step 1 : create random 10*10 matrix. Answer a)  Step 1 : initialize variable to 0. Step…

Q: A/Write a computer programming to print the multiplication table?

A: code and output is given below:

Q: Use induction to prove that every integer n ≥ 2 can be written as a product of primes.

A: Use induction to prove that every integer  n ≥ 2  Prime number must satisfy the following two…

Q: Solve the following recurrence using the iteration technique. () T(1) = 1 T(n) = 4T + n

A: Defined the given recurrence relation using the iteration technique

Q: To calculate the correlation coefficients of variables, we use the: Select one: a.pairplot.…

A: Given:- To calculate the correlation coefficients of variables, we use the: Select one:…

Q: Let f, 9,h: Z Z. f(x)= 2", g(x) = x², h = [4]. What is fohog(3) %3D

A:

Q: The van der Waals equation gives a relationship between the pressure p (in atm), volume V (in L),…

A: Define the van der Waals equation: p = nRT/(V-nb) - n^2a/V^2 Rewrite the equation as a third-order…

LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.