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Past exam of the mathematics course of the University of Oxford
/
2017
/
Prelims
/
Mathematics I
/
2
/
a
/
i
/
Solution
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2017
Prelims
Mathematics I
2
a
i
2026-10-25
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By
definition
, the
image of a linear map
T
A
is
im
T
A
=
{
A
x
:
x
∈
R
m
}
.
(1)
Consequently
b
∈
im
T
A
means
exactly that some
x
∈
R
m
satisfies
A
x
=
b
. This is precisely the
existence
of
a
solution of the
linear system
.
Ancestors
(13)
i
a
2
Mathematics I
Prelims
2017
Past exam of the mathematics course of the University of Oxford
Mathematics 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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