MathAlgebraLinear algebraLinear operators

Linear subspaces

A union of subspaces

Report a typo

Suppose $U_1$ and $U_2$ are linear subspaces of a vector space $V$ . When is $U_1 \cup U_2$ a subspace of $V$ ?

Tip: Consider two lines on the plane.

Select one option from the list

The union is a subspace if the subspaces's intersection is the zero subspace

The union can never be a linear subspace.

The union is a subspace if one of the subspaces is contained in the other one

The union is always a linear subspace.

___

Create a free account to access the full topic