Q1. The goal of forward elimination steps
in the Naïve 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 Naïve 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, Naïve Gauss
elimination solution to

is

x_{1
}= 26.66; x_{2 }= 1.051

x_{1
}= 8.769; x_{2 }= 1.051

x_{1
}= 8.800; x_{2 }= 1.000

x_{1
}= 8.771; x_{2 }= 1.052

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

is

x_{1
}= 26.66; x_{2 }= 1.051

x_{1
}= 8.769; x_{2 }= 1.051

x_{1
}= 8.800; x_{2 }= 1.000

x_{1
}= 8.771; x_{2 }= 1.052

Q5. At
the end of forward elimination steps of Naïve 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)=at^{2}+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