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Tridiagonal determinant recurrence
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Mathematics
Area of mathematics
Algebra
Linear algebra
Multilinear algebra
Determinant
Created
2026-09-24
Updated
2026-09-24
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For
diagonal
entries
a
i
, superdiagonal entries
b
i
, and subdiagonal entries
c
i
, the leading principal
determinants
satisfy
d
n
=
a
n
d
n
−
1
−
b
n
−
1
c
n
−
1
d
n
−
2
,
d
0
=
1
,
d
1
=
a
1
.
(1)
Ancestors
(7)
Determinant
Multilinear algebra
Linear algebra
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ia
/
Paper 1
/
6C
/
d
/
i
/
Solution
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