Numerical techniques more commonly involve _______
Numerical Methods MCQ Practice
Which of the following is an iterative method?
Solve the equations using Gauss Jordan method. x+y+z=9 2x-3y+4z=13 3x+4y+5z=40
Errors may occur in performing numerical computation on the computer due to which of the following reasons?
Which of the following is also known as the Newton Raphson method?
If approximate solution of the set of equations, 2x+2y-z = 6, x+y+2z = 8 and -x+3y+2z = 4, is given by x = 2.8 y = 1 and z = 1.8. Then, what is the exact solution?
Which of the methods is a direct method for solving simultaneous algebraic equations?
What is the value of the determinant \(\begin{pmatrix}3&5&2\\7&4&5\\1&2&3\end{pmatrix}\)?
If EF exists, then (EF)-1 will be equal to which of the following?
Solve the following equations by Gauss Elimination Method. x+4y-z = -5 x+y-6z = -12 3x-y-z = 4
Which of the following is the advantage of using the Gauss Jordan method?
Apply Gauss Elimination method to solve the following equations. 2x – y + 3z = 9 x + y + z = 6 x – y + z = 2
Matrix which does not have an inverse by solving it, is classified as which of the following?
Find the inverse of the following matrix?
Which of the following transformations are allowed in the Gauss Jordan method?
The Gauss Jordan method reduces a original matrix into a _____________
Solve the given equations using Gauss Jordan method. 3x+3y+3z=9 6x-9y+12z=13 9x+12y+15z=40
What is the other name for factorization method?
Apply Cramer's rule to solve the following equations. x + y + z = 6.6 x – y + z = 2.2 x + 2y + 3z = 15.2
Cramer's Rule fails for ___________
Gauss Seidal method is also termed as a method of _______
Solve the following equation by Gauss Seidal Method up to 2 iterations and find the value of z. 27x + 6y - z = 85 6x + 15y + 2z = 72 x + y + 54z = 110
What is the condition applied in the factorization method?
A quadratic equation x4-x-8=0 is defined with an initial guess of 1 and 2. Find the approximated value of x2 using Secant Method.
If the equation y = aebx can be written in linear form Y=A + BX, what are Y, X, A, B?
Secant Method is also called as?
Find f(0.18) from the following table using Newton's Forward interpolation formula. x 0 0.1 0.2 0.3 0.4 f(x) 1 1.052 1.2214 1.3499 1.4918
Which of the following is an assumption of Jacobi's method?
Find the approximated value of x till 6 iterations for x3-4x+9=0 using Bisection Method. Take a = -3 and b = -2.
Find the positive root of the equation x3 – 4x – 9 = 0 using Regula Falsi method and correct to 4 decimal places.