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Vector Spaces
Abstract vector spaces over a field, subspaces, bases, dimension, coordinates, and the four fundamental subspaces.
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Write
(
5
,
7
)
=
a
(
1
,
0
)
+
b
(
0
,
1
)
(5,7)=a(1,0)+b(0,1)
(
5
,
7
)
=
a
(
1
,
0
)
+
b
(
0
,
1
)
.
Compute
a
+
b
a+b
a
+
b
.
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( )
x
n
√
⌫
AC
7
8
9
+
4
5
6
−
1
2
3
×
0
.
a
b
Check
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÷
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