Hi, everyone.
We have already learned determinants in birds and solution of linear systems by various methods from
the previous sessions.
A system of linear equations also can be solved by three months rule and matrix method.
But sometimes what happens is this Kramers matrix method and other methods, which we have learned in
madrases may be tedious when in large system of equations are there.
OK.
So therefore, we have numerical methods of solutions which are machine compatible for computations.
There are two ways to solve.
These equations in a system of equations, one is static method.
The other one is iterative method.
In that method, we have two methods which we are going to understand in this forthcoming sessions.
Course, Jordan and Gaza nation.
And in a treaty methods, we will have Goss, Jacobean Goss, little methods.
OK.
The approximations are.
Understood by repeated steps.
Yes.
Which lead to a true solution.
By a computational cycle, various methods and processes are designed to achieve the desired accuracy
in this score.
The objective is to merge learning of two different branches of mathematics that is from matrices to
numerical methods using Excel.
As you can see, when I was taking the course.
The mathematical representations.
Well, represented with some examples using Excel.
So while using Excel.
The the methods were clear and we could solve.
Many examples which will be giving us an idea about the solutions and how the iterations would be happening.
And in Excel, it is easy for us to observe.
And in this session, we are going to incorporate those the methods which we learned exploded with traces
to solve numerical methods using Excel.
The examples which we have designed in which I have designed in this forthcoming sessions are such a
way that just by.
Values, you put the values in those cells of the Excel sheet, you can generate as many examples as
you want.
Then then what happens is if you if you want to really expertise in that method, you can do it using
Excel.
So that's how the examples are designed.
So even one example is enough to design the particular kind of iteration table, or maybe the method
which we are using to solve using Excel.
So this is the way the.
Designing of numerical methods has been done.
OK, see you then let us start with the numerical methods.
Using Excel.