Numerical Methods Quiz

What is the main requirement for the Secant method in C++?

• Derivative of function

• Two initial guesses

• Initial bracket

• Matrix input

Which of the following does the Secant method approximate?

• Derivative

• Integral

• Matrix

• Root range

In Graeffe's method, what kind of roots can be obtained?

• Only real

• Only imaginary

• Complex and real

• Only positive

Gauss Elimination method solves systems of:

• Differential equations

• Nonlinear equations

• Linear equations

• Integral equations

In Gauss Elimination, what is the first step before back-substitution?

• Finding determinant

• Forward elimination

• Matrix inverse

• Sorting

What does the Gauss-Jordan method eliminate completely?

• Upper triangle

• Lower triangle

• All non-diagonal elements

• Constants

The formula used in the Secant method is:

• x = x₋₁ - f(x₋₁)/f’(x₋₁)

• x = (x₋₁ * f(x₋₂) - x₋₂ * f(x₋₁)) / (f(x₋₂) - f(x₋₁))

• x = x₀ + n*h

• x = a + (b-a)/2

Which loop is most commonly used in Secant method C++ programs?

• for loop

• do-while

• while loop

• switch

What type of matrix does Gauss-Jordan produce at the end?

• Diagonal matrix

• Augmented matrix

• Identity matrix

• Triangular matrix

What will happen if the pivot element is zero in Gauss Elimination?

• Skip row

• Crash

• Divide by zero error

• Row swapping needed