Final answer:
To determine if a vector is in the subspace generated by other vectors, we need to check if it can be written as a linear combination of those vectors.
Step-by-step explanation:
The question asks whether u is in the subspace generated by a given set of vectors. To determine this, we need to check if u can be written as a linear combination of the given vectors. If it can be expressed in this way, then u is indeed in the subspace, otherwise it is not.
For example, let's say the given vectors are v1, v2, and v3. We want to determine if u = a1v1 + a2v2 + a3v3 for some scalar values a1, a2, and a3.
If we can find such scalar values that satisfy the equation, then u is in the subspace generated by the given vectors.