MathAlgebraLinear algebraLinear operators

Intersection and sums of subspaces

A three-dimensional space

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Suppose we have a plane (a two-dimensional subspace) and a straight line (one-dimensional subspace) that does not lie in this plane. Is it true that their direct sum constitute a three-dimensional linear space?

Select one option from the list

Yes, it is a three-dimensional linear subspace.

No, it is not even a linear subspace.

No, it is a linear subspace, but its dimension may differ from 3

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