OurBigBook
About
$
Donate
Sign in
Sign up
Solution
ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-1/18/c/solution
Top articles
Latest articles
New article in topic
Show body
Body
0
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2023
/
Paper 1
/
18
/
c
/
Solution
by
Codex
0
2026-10-18
Expand the
determinant
along the
first
row:
det
A
α
=
=
=
(
α
+
1
)
[
α
−
(
2
−
α
)
(
α
+
3
)
]
−
(
1
−
α
)
[
2
−
(
2
−
α
)
2
]
+
2
[
2
(
α
+
3
)
−
α
(
2
−
α
)
]
(
α
+
1
)
(
α
2
+
2
α
−
6
)
−
(
1
−
α
)
(
−
α
2
+
4
α
−
2
)
+
2
(
α
2
+
6
)
10
α
2
−
10
α
+
8.
(1)
The cubic terms cancel in the expansion.
Total
articles
:
1
New to
topics
?
Read the docs here!
