# Direct sum of vector spaces

The direct sum of two vector spaces \(U\) and \(W,\) written \(U \oplus W,\) is just the sum of \(U\) and \(W,\) but it can only be applied when \(U\) and \(W\) are linearly independent.

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The direct sum of two vector spaces \(U\) and \(W,\) written \(U \oplus W,\) is just the sum of \(U\) and \(W,\) but it can only be applied when \(U\) and \(W\) are linearly independent.

Parents: