A system is inconsistent if it has no solution. In a system of two equations in two variables, the equations are dependent if one equation is a multiple of the other. Dependent systems have an infinite number of solutions – every point is a solution.

Spring 2023_MTH603_1 Solution

@zaasmi said in MTH603 Quiz 2 Solution and Discussion:

While solving a system of linear equations by Gauss Jordon Method, after all the elementary row operations if there lefts also zeros on the main diagonal then which of the is true about the system?

The question asked that while solving a system of linear equations where ghost Children method, after all the elementary operations, if their lives are all widows on the main diagonal, then which of the following history in the system. So first we have to know about the Gaussian elimination method. So Gaussian elimination is the name of the matter. We used to perform the three types of metrics. Cooperation on an undocumented metrics coming from a linear system of equations in order to find the solutions for such a system. This technique is also cultural reduction and it conjures up two stages forward elimination and backs institutions. The forward elimination estates refers to the road except needed to simplify the metrics in questions into the chloroform such states has the proposed to demonstrate if the system of equations for trade in the metrics have a unique possible solutions infinitely many solutions or just no solutions at all, he found that the system has no solutions, then there is no reason to continue the reduction the magic through the next states. So according to the given a statement, the correct officer is an officer and a. That each system me how infinitely many solutions. Thank you This after applying all the elementary row operations on the system. If the main diagonal is still conjures of zeros, that means that the system may have infinitely many solar cells. Thank you

@zaasmi said in MTH603 Quiz 3 Solution and Discussion:

Euler’s Method numerically computes the approximate ________ of a function.

Euler’s method is a numerical tool for approximating values for solutions of differential equations.

@zaasmi said in MTH603 Assignment 2 Solution and Discussion:

@zaasmi said in MTH603 Assignment 2 Solution and Discussion:

Assignment NO. 2 MTH603 (Spring 2021)

Maximum Marks: 20
Due Date: July 30, 2021

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Question 1:
Find the first and second derivative of function f(x) at x=1.5 if:

x 1.5 2.0 2.5 3.0 3.5 4.0 f(x) 3.375 7.000 13.625 24.000 38.875 59.000

MARKS 10

Question 2:

Using Newton’s forward interpolation formula, find the value of function f(1.6) if:

x 1 1.4 1.8 2.2 f(x) 3.49 4.82 5.96 6.5

MARKS 10

MTH603 Assignment 2 Solution Spring 2021-converted.docx MTH603 Assignment 2 Solution Spring 2021.pdf

@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

A series 16+8+4+2+1 is replaced by the series 16+8+4+2, then it is called

Each number in the sequence is half the value of the number receding it. So the common difference in the series is dividing by two.

16÷2=8

8÷2=4

4÷2=2

2÷2=1

1÷2=½

The answer is ½ or 0.5

When you keep dividing by two, you will notice an interesting pattern: the denominator continues to increase by two, while the numerator value remains the same. That’s fascinating because in natural, whole numbers the numbers in the series would decrease by two.

1/4 , 1/8 , 1/16 etc.

@ozair
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@engr-ali said in decimal fractions:

Assallamulikum Sir, Conversion (59)10 into binary 59/2=28-1 ? 28/2=14-0 14/2=7-0 7/2=3-1 3/2=1-1 (111001) ?

Dear @Engr-Ali ,

$(59){10} = (111011){2}$

The mistake you have made is in the first step where you divided $59/2$. It has to be $29-1$ instead of $28-1$.

Best wishes

@vu-kick said in Errors in Computations.:

What is synchronous and asynchronous and what are there applications in real world. Which applications use this sort of techniques.

The word synchronous and asynchronous are very general terms that are used in different fiels representing different phenonena. If you can please ask it more clearly that in what context you are asking. It will be good if you please mention what page of handouts, what slide of ppts or where in the lecture video of the numerical analysis you studied/heard about it. Then we’ll be able to explain it well.

Best wishes

@oxama-malik said in Solution of Non Linear Equations (Bisection Method):

respected sir, sir ma na ye pochna tha ka regula falsi method ma hum ye bhi formula use kar sakta hai. please guide kar dya. the first approximation solution x1 is given by X1=(a(f(b))-b(f(a))/f(b)-f(a)

That is right. You can use this formula.

In fact, the formula given in the handouts becomes same after you simplify it. Also $x_{n-1}$ will become $a$ and $x_{n}$ will become $b$.

So use any from the two formulas you find easier.

Best wishes

@engr-ali said in replace the part of curve between the points:

AoA, Sir if you may plz explain “replace the part of curve between the points A(x_n, f(x_n)) and B(x_n-1, f(x_n-1)) by a chord in the interval” . diagrammatic explanation will be a great help in comprehension of the subject matter. Thanks

A chord is basically a straight line by joining two points of a curve or circle. The root of a equation means that when we give input value x then the functional value of that input will be zero then x is called the root of that equation. We take the two points of the interval on the chord instead of the curve shape because the value of root lies in that interval and this mean this value will lie on x-axis and if this is the root then functional value will be zero and we know that y-axis (functional value) is zero at x-axis.

@zainab-ayub said in MTH603 Quiz 2 Solution and Discussion:

Mth603 ka koi student hai tu plz yeh question bta dy kis trha solve ho ga Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is

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