Metodos Numericos

What is the process of finding the matrix that when multiplied with the original matrix gives the identity matrix?

• Finding the determinant

• Finding the inverse matrix

• Finding the square matrix

• Finding the transpose matrix

What method can be used to find approximate solutions to nonlinear algebraic equations?

• Newton-Raphson method

• Gaussian elimination

• Euler's method

• Simpson's rule

What is the main advantage of iterative methods for solving differential equations?

• They are not as accurate as analytical methods

• They are only applicable to simple differential equations

• They are more time-consuming than other methods

• They can be used to solve complex differential equations that do not have a closed-form solution.

What is the process of approximating the definite integral of a function using numerical methods?

• Geometric integration

• Analytical integration

• Numerical integration

• Algebraic integration

What is the method used to find the roots of nonlinear algebraic equations?

• Newton-Raphson method

• Secant method

• Bisection method

• Regula-Falsi method

Which method is used to solve nonlinear algebraic equations numerically?

• Newton-Raphson method

• Secant method

• Bisection method

• Regula-Falsi method

What is the numerical method for finding roots of nonlinear algebraic equations?

• Newton-Raphson method

• Secant method

• Bisection method

• Regula-Falsi method

What is the result of multiplying a matrix by its inverse?

• The zero matrix

• The identity matrix

• The original matrix

• The determinant of the matrix

What is the characteristic property of an orthogonal matrix?

• It has all eigenvalues equal to 1

• It has all eigenvalues equal to -1

• It has all eigenvalues equal to 0

• It has all eigenvalues equal to 2

Which method is used to estimate the value of a definite integral when the antiderivative of the function cannot be found?

• Geometric integration

• Analytical integration

• Numerical integration

• Algebraic integration