Question

equation are linearly dependent in a system of linear equation if and only if?​

Answer 1

Explanation:

If the equations are linearly dependent, the determinant of the matrix would be zero and hence, no inverse exists for such a matrix.

Answer 2

Explanation:

A set of two vectors is linearly dependent if at least one vector is a multiple of the other. A set of two vectors is linearly independent if and only if neither of the vectors is a multiple of the other. A set of vectors S = {v1,v2,...,vp} in Rn containing the zero vector is linearly dependent.