Gaussian Elimination Simultaneous Linear Equations

04.06.2

Chapter 04.0604.06.3

Chapter 04.06

Multiple-Choice Test

Chapter 04.06

Gaussian Elimination

1. The goal of forward elimination steps in the Nave Gauss elimination method is to reduce the coefficient matrix to a (an) _____________ matrix.

(A) diagonal

(B) identity

(C) lower triangular

(D) upper triangular

2. Division by zero during forward elimination steps in Nave Gaussian elimination of the set of equations implies the coefficient matrix

(E) is invertible

(F) is nonsingular

(G) may be singular or nonsingular

(H) is singular

3. Using a computer with four significant digits with chopping, the Nave Gauss elimination solution to

is

(I)

(J)

(K)

(L)

EMBED Equation.3 4. Using a computer with four significant digits with chopping, the Gaussian elimination with partial pivoting solution to

is

(M)

(N)

(O)

(P)

5. At the end of the forward elimination steps of the Nave Gauss elimination method on the following equations

the resulting equations in matrix form are given by

The determinant of the original coefficient matrix is

(Q) 0.00

(R)

(S)

(T)

6. The following data is given for the velocity of the rocket as a function of time. To find the velocity at , you are asked to use a quadratic polynomial, to approximate the velocity profile.

01415203035

0227.04362.78517.35602.97901.67

The correct set of equations that will find , and are

(U)

(V)

(W)

(X)

For a complete solution, refer to the links at the end of the book.

04.06.1

04.06.2

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