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Matrix A :%7.2lf Matrix A^-1 : The approximate relative fault of A and A^-1 is : %.20lf The approximate relative modulo of A and A^-1 is : %.20lf Condition number of A matrix : %lf %12.2lf Matrix A^-1 : Matrix A*A^-1 : Due to the fact that in random matrices we don't know the × inverted vector faults are not computed, as you can see, and so alternatively we compute the inverted matrix B=A^-1 and also the multiplication of A*B = A*A^-1 so that we can proove that method LU worked well. We can reach to this conclusion if the printed A*B is the unit matrix(I). Execution of LU method(with partial pivoting) to compute A^-1 matrix ended... Execution time of LU to compute A^-1 : %.4lf ms rask1_LU_1_b.txtFILE ERROR : Either the file with name 'ask1_LU_1_b.txt' does not exist or it is placed in a wrong directory%dDimensions given from the file are %dX%d %lfGive Hilbert matrix[NXN] dimension N(e.g. 10,50,100) : Give Pei matrix[NXN] dimension N(e.g. 100,500,1000) : Specific matrices LIST Switch the specific matrix to compute the inverted matrix as given from exercise ask1_LU.1.b: 1. Matrix of dimensions 4X4 (adjustment 1.b.1) 2. Pei Matrix of dimensions NXN, where N given by you with values 100,500,1000 (adjustment 1.b.2) 3. Hilbert Matrix of dimensions NXN, where N given by you with values 10,50,100 (adjustment 1.b.3) 4. Select if you want to return to MAIN MENU.INPUT: Insert Á^-1 matrix data below:A^-1[%d][%d] = Give matrix[NXN] dimension N : Insert Á matrix data below:A[%d][%d] = MAIN MENU Switch your method of giving a system: 1. User Input: you are about to insert the A matrix and the b vector directly from keyboard 2. Use specific matrices: you are about to switch from a list of given matrices 3. Use ramdom matrices: you are about to select only the size of the matrix you want and the matrix will be generated randomly 4. File input: you are about to give a text file with your matrices in it. The file name must have the name:'ask1_LU_1_b.txt' 5. Select if you want to quit. 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