Menge aller Linearkombinationen aus gegebenen Vektoren.
• Die Lineare Hülle bildet einen Untervektorraum von
• Wenn linear unabhängig, und , dann ist eindeutig.
• Direkte Summe
Wenn die Untervektorräume linear unabhängig sind
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
![[image]](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAPCAIAAACN07NGAAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAvklEQVQokZWSsRHCMAxFBbNwVEzgDXJpqBhBkzCAaBkhfcQiVCi7PIokYBPnuKiU9ez3be8A2Vj7rYCICHO5lgvqAISluZMsAPgygLuPU9P8VBGmkrUKt0Zet0EOx9PzNeT9vrvruam4TSbm4MW2YWm2Yun28Ssg1xJZMrhZ5Hu7lul+8oyhWukfh/YiXT+IDLer5FEqebKjXEU9TEuvuhtAuMf4MmmJrDDj/ZXX95cBt5TqyDpDNQoAO7b/6zdYR8now78zIQAAAABJRU5ErkJggg== "embedded image (png)"){kind=small}
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
linear unabhängig, und ![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
, dann ist ![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
eindeutig.![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}