Final answer:
To determine if a set of vectors is linearly independent, arrange the vectors into a matrix and perform operations such as row reduction to check for a row of zeros or collinearity.
Step-by-step explanation:
In linear algebra, vectors are considered linearly independent if no vector in the set can be written as a linear combination of the other vectors. To determine if a set of vectors is linearly independent, you can use a method known as inspection. Firstly, arrange the vectors into a matrix. Then, perform operations such as row reduction to check if the matrix has a row of zeros or if the vectors are collinear.