Gauss Elimination & 1D FE Modelling

The aim of elimination steps in Gaussian elimination method is to reduce the coefficient matrix to ____________

• diagonal

• identity

• lower triangular

• upper triangular

9. In Gaussian elimination method, original equations are transformed by using _____________

• Column operations

• Row Operations

• Mathematical Operations

• Subset Operation

The Elimination process in Gauss Elimination method is also known as _____________

• Forward Elimination

• Backward Elimination

• Sideways Elimination

• Crossways Elimination

In ______________ method a Matrix is reduced to a Upper Triangular Matrix.

• Forward Elimination

• Backward Elimination

• Sideways Elimination

• Crossways Elimination

Solve the given system of equation by Gaussian Elimination method.

3x + 4y – z = -6

-2y + 10z = -8

4y – 2z = -2

• (-2, -1, -1)

• (-1, -2, -1)

• (-1, -1, -2)

• (-1, -1, -1)

The reduced form of the Matrix in Gaussian Elimination method is also called ____________

• Column Echelon Form

• Row-Column Echelon Form

• Column-Row Echelon Form

• Row Echelon Form

Gaussian elimination is a name given to a well known method of solving simultaneous equation by successively eliminating _________

• Variables

• Equations

• Unknown

• Algorithms

Solve the following equations by Gaussian Elimination Method.

x-2y-z = 1

2x-9y = 13

-5x+6y+3z = 11

• x = 7, y = -3 , z = -2

• x = -7, y = -3 , z = -2

• x = -3, y = -7 , z = -2

• x = -2, y = -3 , z = -7

If the structure is divided into discrete areas or volumes then it is called an _______

• Structure

• Element

• Matrix

• Boundaries

Discretization includes __________ numbering.

• Element and node

• Only nodal

• Only elemental

• Either nodal or elemental