# 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

• If the determinant of a matrix A is not equal to zero then the system of equations will have……….

If the determinant of a matrix is zero, then the linear system of equations it represents has no solution. In other words, the system of equations contains at least two equations that are not linearly independent.

• Given that dydt=y−ty+t with the initial condition y=1,t=0 find the 3rd term in Taylor series when t=0.3 and y//= 0.2. • Given that dydt=t+y with the initial condition y0=1att0=0 find the 3rd term in Taylor series when t=1.5 and y// =0.6 • While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule over --------.

Plane region
Real line

• While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to -------- variable/variables at time

Single
Both

• Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 2nd term in Taylor series when t=1, y/ =0.2, and h=0.1. • Which of the following reason(s) lead towards the numerical integration methods? • In Trapezoidal rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into n subintervals of equal length using the ………points. • Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 3rd term in Taylor series when t=1, y/ =0.2, y// =2, and h=0.1. • Given that dydt=y−ty+t with the initial condition y=1,t=0 Using Euler’s method, y at
h=0.01
; the value of y(0.01)is • Given that dydt=1−y√ with the initial condition y0=1att0=0 find the 3rd term of Taylor series when t=0.5 and y// =0.25. • While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to -------- variable/variables at time

Single
Both

• At which of the following points the Maximum value of 2nd derivative of function
f(x) = -(2/x) in the interval:[1,4] exits? At x=1

• At which of the following points the Maximum value of 2nd derivative of function
f(x) = -(2/x) in the interval:[1,4] exits? • Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 2nd term in Taylor series when t=1, y/ =0.2, and h=0.1.   4

1

1

1

1

127

1
• ## MTH603 Quiz 3 Solution and Discussion MTH603 - Numerical Analysis • mth603 quiz 3 solution discussion fall 2019 • • zareen

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