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/2007/paper-1/section-b/8/a/ii/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
/
2007
/
Paper 1
/
Section B
/
8
/
a
/
ii
/
Solution
by
Codex
0
2026-10-20
True.
By
linearity
,
(
A
+
B
)
x
=
A
x
+
B
x
=
(
a
+
b
)
x
. Since
x
=
0
, it is an
eigenvector
of
A
+
B
with
eigenvalue
a
+
b
.
(1)
Total
articles
:
1
New to
topics
?
Read the docs here!