In this post, I will briefly explain what the null space of a matrix is and give some examples of how it can be used. I will start by defining the null space of a matrix, which is basically an infinite set of vectors that satisfy all equations in the original matrix.






Null space of a matrix. This is one of the most important areas in linear algebra. We’ve talked about it before in our eigenvalues video, but we will review from scratch in order to give you a better understanding of this concept. We will start by explaining what it means to be orthogonal and how the null space of a matrix relates to that term. The null space is like the image of a matrix under an orthogonal transformation. The image of the null space is called the kernel,