Category: Matrix rank

Check out the article where I show how to calculate the rank of a matrix with one example.

Calculate “a”, knowing that the system of equations is inconsistent.

Instead of systematically starting with the rank of the main matrix, let’s determine the rank of the augmented matrix and apply the Kronecker-Capelli theorem.

Let’s assume we have defined the matrix rank as: “the number of linearly independent rows and columns in a matrix”. What properties of ranks follow from this definition right from the start?

First, it’s obvious that the matrix rank can be: 1, or 4, or sometimes 0. But it will definitely not be: -4, or 1/2. Okay, is that all?

Homogeneous systems of linear equations are systems in which all intercepts are equal to 0.
I will show you how to solve such systems of equations using a row of matrices.