Matrix Methods Quiz

The Gauss Elimination Method is classified as a:

• Direct method

• Iterative method

• Approximate method

• Numerical integration method

In the Gauss-Seidel Method, the solution is:

• Obtained in one step

• Obtained by repeated iteration

• Obtained using determinants

• Obtained using interpolation

The Jacobi Iteration Method requires:

• Matrix to be diagonal

• Matrix to be singular

• Matrix to be diagonally dominant

• Matrix to be symmetric

A matrix is said to be diagonally dominant if:

• Diagonal element is less than the sum of other elements

• Diagonal element is zero

• Diagonal element is greater than the sum of other elements in its row

• All elements are equal

LU Decomposition Method is a:

• Direct method

• Iterative method

• Statistical method

• Empirical method

In Gauss Elimination, the system is reduced to:

• A diagonal matrix

• An upper triangular matrix

• A singular matrix

• A zero matrix

The Eigenvalue of a matrix A is a scalar λ such that:

• A - λI = 0

• det(A - λI) = 0

• Aλ = I

• A = λI

The Power Method is used to find:

• All eigenvalues

• Smallest eigenvalue

• Largest eigenvalue

• Inverse of a matrix

The matrix equation AX = B is called a:

• Linear system

• Quadratic system

• Non-linear system

• Determinant

An Iterative Method typically starts with:

• Final solution

• A guess or approximation

• Exact root

• Inverse matrix