Gaussian Elimination Simultaneous Linear Equations
Multiple-Choice Test
Chapter 04.06
Gaussian Elimination
1. The goal of forward elimination steps in the Naïve 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 Naïve Gaussian elimination of the set of equations [pic]implies the coefficient matrix [pic]
A) is invertible
E) is nonsingular
F) may be singular or nonsingular
G) is singular
3. Using a computer with four significant digits with chopping, the Naïve Gauss elimination solution to
[pic]
is
A) [pic] [pic]
H) [pic] [pic]
I) [pic] [pic]
J) [pic][pic]
4. Using a computer with four significant digits with chopping, the Gaussian elimination with partial pivoting solution to
[pic]
is
A) [pic] [pic]
K) [pic] [pic]
L) [pic] [pic]
M) [pic] [pic]
5. At the end of the forward elimination steps of the Naïve Gauss elimination method on the following equations
[pic]
the resulting equations in matrix form are given by
[pic]
The determinant of the original coefficient matrix is
A) 0.00
N) [pic]
O) [pic]
P) [pic]
6. The following data is given for the velocity of the rocket as a function of time. To find the velocity at [pic], you are asked to use a quadratic polynomial, [pic]to approximate the velocity profile.
|[pic] |[pic] |0 |14 |15 |20 |30 |35 |
|[pic] |[pic] |0 |227.04 |362.78 |517.35 |602.97 |901.67 |
The correct set of equations that will find [pic], [pic] and [pic] are
A) [pic]
Q) [pic]
R) [pic]
S) [pic]
For a complete solution, refer to the links at the end of the book.
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