Independence and inclusion
Task number: 2522
Let \(V\) be a vector space and \(X\subseteq Y \subseteq V\). Decide, which of the following claims are valid or not:
The se \(X\) is not independent, while the set \(Y\) is independent.
If the set \(X\) is independent, so is the set \(Y\).
If the set \(Y\) is independent, o is the set \(X\).