MATH-6330 - Numerical Methods oed answer key
Showing 121 to 140 of 256 total answers.
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Awesome StudentQuestion • Numerical Methods
Interpreting the results graphically is one advantages of using software systems in numerical methods.
Answer
True
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Awesome StudentQuestion • Numerical Methods
This is an informal and human readable description of an algorithm leaving many granular details of it
Answer
Pseudocode
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Awesome StudentQuestion • Numerical Methods
Which of the following is the best application of approximating an integral of a function numerically?
Answer
a function whose anti derivative cannot be found
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Awesome StudentQuestion • Numerical Methods
If A−1 (if it exists) the eigenvalues of A−1 is 1/5, 1/4 and 1/2 if matrix A has eigenvalues 5, 4 and 2
Answer
True
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Awesome StudentQuestion • Numerical Methods
If the determinant of the matrix is zero, it is impossible to check the solutions of the variables using
Answer
Cramer's Rule
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Awesome StudentQuestion • Numerical Methods
If x2 is the approximated root in Secant method, it follows that; the value of f(x2) must be equal to 0.
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Awesome StudentQuestion • Numerical Methods
In matrix multiplication, a matrix of n x k by k x m size the resulting matrix would have a dimension of
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Awesome StudentQuestion • Numerical Methods
Newton’s method is based on a truncated version of the Taylor series keeping only the first order terms.
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Awesome StudentQuestion • Numerical Methods
Numerical integrations such as Trapezoidal and Simpson's 1/3 rule should have intervals that are uniform
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Awesome StudentQuestion • Numerical Methods
Roots of transcendental functions are easily approximated using Newton’s method provided that f’(x) ≠ 0.
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Awesome StudentQuestion • Numerical Methods
For a two segment trapezoidal rule, it will use the points similar to the ones used by Simpson's 1/3 rule
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Awesome StudentQuestion • Numerical Methods
If matrix A is invertible such that A−1 = L−TL−1 then matrix A can be decomposed using Cholesky’s method.
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Awesome StudentQuestion • Numerical Methods
It is a feature which is essential to a system design especially when dealing with changes in computation
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Awesome StudentQuestion • Numerical Methods
Which among the given set of values provides the least approximation error in employing trapezoidal rule?
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Awesome StudentQuestion • Numerical Methods
Power method is an iterative approach that can be employed to determine the largest or dominant eigenvalue
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Awesome StudentQuestion • Numerical Methods
Secant method is nearly as fast as the Newton-Raphson method and ensures convergence rather than the latter.
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Awesome StudentQuestion • Numerical Methods
The Lagrange interpolating polynomial is thepolynomial P(x)of degree ________ that passes through thenpoints
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Awesome StudentQuestion • Numerical Methods
For the function f(x) =its first derivative is f’(x) is The first derivative of the function is f’(x) =
#MATH-6330
Awesome StudentQuestion • Numerical Methods