Question

Consider the system of linear equations AX=B where A is a hilber matrix with size 9x9 and B is a matrix that all elements are l and its saxi Find the value of the first component of the exact solution vector in format long after solving the given system of linear equations on MATLAB.

Your answer
1.13860
2.9
3.-720
4.11

Answer 1

To solve the system of linear equations AX = B, where A is a Hilbert matrix with size 9x9 and B is a matrix with all elements as l, you can use MATLAB. The value of the first component of the exact solution vector can be obtained using the backslash operator and accessing the first element of the solution vector.

Step-by-step explanation:

To solve the system of linear equations AX = B, where A is a Hilbert matrix with size 9x9 and B is a matrix with all elements as l, you can use MATLAB. First, define the matrices A and B in MATLAB. Then, use the backslash operator to solve the system of equations by writing x = A \ B.

The value of the first component of the exact solution vector in format long can be obtained by accessing the first element of the solution vector x using x(1).