| 1. | The state of the component object still forms part of the aggregate object.
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| 2. | The component object may be accessed through other objects without going through the aggregate object.
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| 3. | Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object.
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| 4. | Crucially, Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object.
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| 5. | This relationship between the aggregate and component is a weak has a relationship, as the component may survive the aggregate object.
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| 6. | The aggregate object does not take part in the lifecycle of the component object, meaning the component object may outlive the aggregate object.
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| 7. | The aggregate object does not take part in the lifecycle of the component object, meaning the component object may outlive the aggregate object.
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