Significance of Rank of Jacobian I have been struggling with this question. What is the significance of finding the rank of a Jacobian matrix of a function?

I understand that the Rank of a matrix signifies the number of linearly independent rows / columns. How does this idea extend to finding the rank of a Jacobian matrix?

Thanks !! :)
If the Matrix has not a zero determinant it is called the full rank Jacobian. It means if J is Jacobian matrix. det(J) must not be zero to have the full rank.
If the Matrix has not a zero determinant it is called the full rank Jacobian. It means if J is Jacobian matrix. det(J) must not be zero to have the full rank.