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Kunze Linear Algebra
· Problem 5.3.2
Determinants
Mathematics — Methods · vandermonde-determinant
Problem
Prove that the determinant of the Vandermonde matrix
[
1
a
a
2
1
b
b
2
1
c
c
2
]
\begin{bmatrix} 1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2 \end{bmatrix}
1
1
1
a
b
c
a
2
b
2
c
2
is
(
b
−
a
)
(
c
−
a
)
(
c
−
b
)
(b-a)(c-a)(c-b)
(
b
−
a
)
(
c
−
a
)
(
c
−
b
)
.
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