Lesson 7 – Using rank of the matrix to study solutions of a system of linear equations (ARTICLE)

Lesson 7 – Using rank of the matrix to study solutions of a system of linear equations (ARTICLE)

Exceptionally, I have not included a video or homework for this Lesson. You can practise the method by using it to solve examples from next Lesson (on Gaussian elimination).

Instead, you will find here an article in which I present how the rank of a matrix can be used to solve systems of linear equations. In this article I assume that you already know how to compute the rank of a matrix and how to solve systems of equations using Cramer’s rule.

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