its today my paper:
Q. Describe briefly the Jacobi’s method of solving linear equations? 2 marks
Answer: In numerical linear algebra, the Jacobi method is an algorithm for determining the solutions of a diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. This algorithm is a stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jakob Jacobi.
Given a square system of n linear equations:
Perhaps the simplest iterative method for solving Ax = b is Jacobi`s method.
Q. Write a formula for finding the value of p from Newton’s backward difference formula? 2 marks
Answer:
Q. Find the value of from the following matrix by jacobi’s method 3 marks
Q. Prove that 3 marks
Solution:
Q. Solve the following system of linear equations by Gauss-seidal iteration method up to two iterations and three decimal places 5 marks
Q. The sales for the last five years are given in the table below. Find Newton's backward difference tabl.
Solution:
...BEST of LUCK.....
Q. Describe briefly the Jacobi’s method of solving linear equations? 2 marks
Answer: In numerical linear algebra, the Jacobi method is an algorithm for determining the solutions of a diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. This algorithm is a stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jakob Jacobi.
Given a square system of n linear equations:
Perhaps the simplest iterative method for solving Ax = b is Jacobi`s method.
Q. Write a formula for finding the value of p from Newton’s backward difference formula? 2 marks
Answer:
Q. Find the value of from the following matrix by jacobi’s method 3 marks
Q. Prove that 3 marks
Solution:
Q. Solve the following system of linear equations by Gauss-seidal iteration method up to two iterations and three decimal places 5 marks
Q. The sales for the last five years are given in the table below. Find Newton's backward difference tabl.
| X(Years) | 1974 | 1976 | 1978 | 1980 | 1982 |
| Y(Sales in lakhs) | 40 | 43 | 48 | 52 | 57 |
| X | Y | |||
| 1974 | 40 | |||
| 1976 | 43 | 3 | ||
| 1978 | 48 | 5 | 2 | |
| 1980 | 52 | 5 | 0 | -2 |
| 1982 | 57 |
...BEST of LUCK.....