# Linearly Independent or Dependent Calculator

Here is a simple online linearly independent or dependent calculator to find the linear dependency and in-dependency between vectors. First, enter the column size & row size and then enter the values to know the matrix elimination steps.

## Linear Independence or Dependence of Vectors

Here is a simple online linearly independent or dependent calculator to find the linear dependency and in-dependency between vectors. First, enter the column size & row size and then enter the values to know the matrix elimination steps.

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There are many situations when we might wish to know whether a set of vectors is linearly dependent, that is if one of the vectors is some combination of the others. This online linearly independent or dependent calculator helps you to calculate the linear independence or dependence of the vectors which can be found based on the scalar multiple of another vector in the given data set.

**Linearly Dependent Vector | Linear Dependence of Vectors:**

Linear Dependence or Linear Independence of vectors is a parameter to determine the dependency between the vectors. A set of 'n' vectors of length 'n' is said to be linearly dependent when the determinant of matrix with these vectors as columns is zero. In the theory of vector spaces, a set of vectors is said to be linearly dependent if one of the vectors in the set is a linear combination of the others.

**Linearly Independent Vector | Linear Independence of Vectors:**

A set of 'n' vectors of length 'n' is said to be linearly independent when the matrix with these vectors as columns has a non-zero determinant. In the theory of vector spaces, a set of vectors is said to be linearly independent when no vector in the set is a linear combination of the other.