In ……………… method, the elements above and below the diagonal are simultaneously made zero.

Differences methods find the ________ solution of the system.

To apply Simpson’s 3/8 rule, the number of intervals in the following must be

Power method is applicable if the eigen vectors corresponding to eigen values are linearly independent.

While solving the system; x–2y = 1, x+4y = 4 by Gauss-Seidel method, which of the following ordering
is feasible to have good approximate solution?

The need of numerical integration arises for evaluating the definite integral of a function that has no explicit ____________ or whose anti derivative is not easy to obtain

Bisection method is ……………….. method

The determinant of a diagonal matrix is the product of the diagonal elements

For a system of linear equations, the corresponding coefficient matrix has the value of determinant; |A| = 0, then which of the following is true?

Eigenvalues of a symmetric matrix are all _______

The determinant of a _______ matrix is the product of the diagonal elements

The can be used only to find the eigenvalue of A that is largest in absolute value—we call this eigenvalue the dominant eigenvalue of A

Simpson’s rule is a numerical method that approximates the value of a definite integral by using polynomials

A 3 x 3 identity matrix have three and __________eigen values

How many Eigen vectors will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?

The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____zeros along its main diagonal

If x is an eigen value corresponding to eigen value of V of a matrix A. If a is any constant, then x – a is an eigen value corresponding to eigen vector V is an of the matrix A - a I.

The Trapezoidal rule is a numerical method that approximates the value of a.______________.

Which of the following method is not an iterative method?

Muller’s method requires --------starting points

Which of the following is a reason due to which the LU decomposition of the system of linear equations; x+y = 1, x+y =2 is not possible?

For differences methods we require the set of values.

Back substitution procedure is used in …………….

In Jacobi’s Method, the rate of convergence is quite ______ compared with other methods

Sparse matrix is a matrix with ……….

The basic idea of relaxation method is to reduce the largest residual to ………….

Iterative algorithms can be more rapid than direct methods

Which of the following is equivalent form of the system of equations in matrix form; AX=B ?

The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices A.

The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its ________.