234k views
2 votes
Is the following set of vectors linearly independent?

1 Answer

0 votes

Final answer:

To determine if a set of vectors is linearly independent, we need to check if any vector in the set can be expressed as a linear combination of the others. Without the specific set of vectors, we cannot determine if they are linearly independent.

Step-by-step explanation:

A set of vectors is linearly independent if no vector in the set can be written as a linear combination of the other vectors in the set. To determine if the given set of vectors is linearly independent, we need to check if any vector in the set can be expressed as a linear combination of the others.

Let's say we have a set of vectors {v1, v2, v3, ..., vn}. If we can find coefficients c1, c2, c3, ..., cn (not all zero) such that c1*v1 + c2*v2 + c3*v3 + ... + cn*vn = 0, then the set is linearly dependent and not linearly independent.

If we cannot find such coefficients, then the set is linearly independent.

In the given question, we need the actual set of vectors to determine if they are linearly independent, but the information provided does not include the set of vectors. Therefore, without the specific set of vectors, we cannot determine if they are linearly independent.

User Fauzi Danartha
by
7.9k points