Problem 1) Change the diagonal elements of a 3X3 matrix to 1. Diagonal elements of the example matrix shown here are 10, 8, 2 10 -4 0 7 8 3 0 2 Read the given values from input (cin) using for loops and then write your code to solve the diagonal Hint: (not the exact code but just to show the concept) for(i=0;i

Q: When you have a matrix below, how do you print this as a matrix? Example) mat =  1 2 3 2 3 4 When…

A: Program approach: Declare two-dimensional array with a size of 2 and 3 for matrix. Declare variable…

Q: The function np.random.rand can be used to construct and fill vectors and matrices with random…

A: The syntax to create a matrix by using np.random.rand() function is shown below.…

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.