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Dimension formula for a sum of subspaces
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)
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Mathematics
Area of mathematics
Algebra
Linear algebra
Vector space
Direct sum
Created
2026-09-24
Updated
2026-10-05
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For
finite-dimensional
subspaces
U
,
W
of
a
common
vector space
,
dim
(
U
+
W
)
+
dim
(
U
∩
W
)
=
dim
U
+
dim
W
.
(1)
Ancestors
(7)
Direct sum
Vector space
Linear algebra
Algebra
Area of mathematics
Mathematics
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