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Pascal matrix
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Mathematics
Fields of mathematics
Algebra
Linear algebra
Matrices
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A
Pascal matrix
, named after the French
mathematician
Blaise Pascal
, is
a
specific
type of
matrix
that is defined using
binomial coefficients
. An \(
n
\
times
n
\)
Pascal matrix
\(
P
_
n
\) is defined
as
follows: \[
P
_
n
[
i
,
j
] = \binom{
i
+
j
}{
j
} \] for \(
i
,
j
=
0
,
1
,
2
, \ldots,
n
-
1\)
.
Ancestors
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Matrices
Linear algebra
Algebra
Fields of mathematics
Mathematics
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