# How to tell if a set of vectors is linearly independent

Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0. If there are any non-zero solutions, then the Decide math question
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## Linear Algebra : Linear Independence and Rank

By the definition, a vector set is linearly independent if the equality. holds only if all . If one of them is not zero, we say that the vector set is linearly dependent. If we rewrite the

## Linear Independence Calculator

If two of the vectors and are independent but the entire set is linearly dependent, then is a linear combination of and and lies in the plane defined by and . That is, the vectors are coplanar. Lay

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