Holistic Numerical Methods

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MULTIPLE CHOICE TEST

(All Tests)

GAUSSIAN ELIMINATION

(More on Gaussian Elimination)

SIMULTANEOUS LINEAR EQNS

(More on Simultaneous Linear Equations)

 

Pick the most appropriate answer.


Q1. The goal of forward elimination steps in the Na´ve Gauss elimination method is to reduce the coefficient matrix to a (an) _____________  matrix.

 

diagonal

identity

lower triangular

upper triangular


Q2. Division by zero during forward elimination steps in Na´ve Gaussian elimination of the set of equations [A][X]=[C] implies the coefficient matrix [A] is

invertible

nonsingular

not determinable to be singular or nonsingular

singular


Q3. Using a computer with four significant digits with chopping, Na´ve Gauss elimination solution to

is

x1 = 26.66; x2 = 1.051

x1 = 8.769; x2 = 1.051

x1 = 8.800; x2 = 1.000

x1 = 8.771; x2 = 1.052


Q4. Using a computer with four significant digits with chopping, Gauss elimination with partial pivoting solution to

is

  x1 = 26.66; x2 = 1.051

  x1 = 8.769; x2 = 1.051

  x1 = 8.800; x2 = 1.000

  x1 = 8.771; x2 = 1.052


Q5. At the end of forward elimination steps of Na´ve Gauss Elimination method on the following equations

 

 

 

the resulting equations in the matrix form are given by

 

 

 

The determinant of the original coefficient matrix is

0.00


Q6. The following data is given for the velocity of the rocket as a function of time.  To find the velocity at t=21 s, you are asked to use a quadratic polynomial, v(t)=at2+bt+c to approximate the velocity profile.

t

(s)

0

14

15

20

30

35

v(t)

m/s

0

227.04

362.78

517.35

602.97

901.67

The correct set of equations that will find a, b and c are

 

Complete Solution

Multiple choice questions on other topics