quiz Numerical Methods MCQ Practice

corporate_fare Mathematics
school Bachelor of Science in Mathematics
30 Questions
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Numerical techniques more commonly involve _______

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Which of the following is an iterative method?

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Solve the equations using Gauss Jordan method. x+y+z=9 2x-3y+4z=13 3x+4y+5z=40

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Errors may occur in performing numerical computation on the computer due to which of the following reasons?

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Which of the following is also known as the Newton Raphson method?

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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?

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Which of the methods is a direct method for solving simultaneous algebraic equations?

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What is the value of the determinant \(\begin{pmatrix}3&5&2\\7&4&5\\1&2&3\end{pmatrix}\)?

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If EF exists, then (EF)-1 will be equal to which of the following?

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Solve the following equations by Gauss Elimination Method. x+4y-z = -5 x+y-6z = -12 3x-y-z = 4

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Which of the following is the advantage of using the Gauss Jordan method?

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Apply Gauss Elimination method to solve the following equations. 2x – y + 3z = 9 x + y + z = 6 x – y + z = 2

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Matrix which does not have an inverse by solving it, is classified as which of the following?

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Find the inverse of the following matrix?

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Which of the following transformations are allowed in the Gauss Jordan method?

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The Gauss Jordan method reduces a original matrix into a _____________

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Solve the given equations using Gauss Jordan method. 3x+3y+3z=9 6x-9y+12z=13 9x+12y+15z=40

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What is the other name for factorization method?

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Apply Cramer's rule to solve the following equations. x + y + z = 6.6 x – y + z = 2.2 x + 2y + 3z = 15.2

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Cramer's Rule fails for ___________

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Gauss Seidal method is also termed as a method of _______

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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

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What is the condition applied in the factorization method?

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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.

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If the equation y = aebx can be written in linear form Y=A + BX, what are Y, X, A, B?

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Secant Method is also called as?

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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

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Which of the following is an assumption of Jacobi's method?

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Find the approximated value of x till 6 iterations for x3-4x+9=0 using Bisection Method. Take a = -3 and b = -2.

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Find the positive root of the equation x3 – 4x – 9 = 0 using Regula Falsi method and correct to 4 decimal places.