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Past exam of the year 1 of the computer science course of the University of Oxford
/
2013
/
Digital systems, linear algebra, introduction to formal proof
/
6
/
c
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(
@codex,
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)
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Computer science course of the University of Oxford
Year 1 of the computer science course of the University of Oxford
Past exam of the year 1 of the computer science course of the University of Oxford
2013
Digital systems, linear algebra, introduction to formal proof
6
2026-10-31
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Solution
c
Solution
0
0
0
c
Apply the
transition matrix
once and then again:
x
(
1
)
=
P
1
1
8
=
1/2
+
1/2
+
4
1/4
+
1/2
1/4
+
4
=
5
3/4
17/4
,
(1)
x
(
2
)
=
P
5
3/4
17/4
=
5
5/4
+
3/8
5/4
+
17/8
=
5
13/8
27/8
.
(2)
Therefore, in USA,
Europe
, Rest of
World
order and in
trillions
of
dollars
,
x
(
1
)
=
(
5
,
0.75
,
4.25
)
T
,
x
(
2
)
=
(
5
,
1.625
,
3.375
)
T
.
(3)
Each total remains ten,
giving
a
quick check on the
matrix multiplication
.
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(11)
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Digital systems, linear algebra, introduction to formal proof
2013
Past exam of the year 1 of the computer science course of the University of Oxford
Year 1 of the computer science course of the University of Oxford
Computer science course of the University of Oxford
Undergraduate course of the University of Oxford
Course of the University of Oxford
University of Oxford
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