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Pick the most
appropriate answer.
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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
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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
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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 Naïve Gauss Elimination method
on the following equations
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the
resulting equations in the matrix form are given by
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The
determinant of the original coefficient matrix is
0.00
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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
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Complete Solution
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