Elimination Followed by Anti-elimination
Quiz: Elimination converts the system
.
x = 6x + 5y
.
y =
..
x + 2y
.
to the ODE x − 8x + 7x = 0.
What is the coefficient matrix of the system that anti-elimination con­
verts it back to?
Choices:
�
1 2
a.
6 5
�
6 5
b.
1 2
�
0
c.
−7
�
�
1
8
�
d. None of these.
�
Answer: (c)
0 1
−7 8
�
.
Note that neither a. nor b. has the form of a companion matrix.
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18.03SC Differential Equations��
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