How to find the rank of a matrix in Matlab

Solution of matrix rank The rank of a matrix is ​​an important concept in linear algebra and is used to measure the reversibility and linear correlation of the matrix. This article will introduce several methods to find the rank of a matrix in Matlab. In this article, we will discuss in detail: Different methods for finding the rank of a matrix in Matlab. Step-by-step guide for finding the rank of a matrix. Practical examples to help you better understand

First you need to know how to find the rank of a matrix in Matlab. The rank function is mainly used. You can enter help rank on the command line window and see the introduction to the rank function, as shown in the figure:

Create a=[1 4 5; 3 6 8] matrix, enter rank(a) to find the rank of the matrix, as shown in the figure:

After pressing the Enter key, you can see that the rank of the matrix a is 2, such as As shown in the figure:

When I just helped the rank function, I saw that the rank function mainly calculates the rank of a matrix through singular values, because Matlab has a certain accuracy error and cannot be used directly. 0 to judge, and the subsequent tol parameter is a small positive number to increase the judgment and reduce the accuracy error, as shown in the following figure:

When you enter rank(a,0.1), you can Seeing that the rank of the matrix is ​​2, when entering rank(a,1), the rank of the matrix is ​​1. The following parameters are mainly used to judge the accuracy error. If not considered, directly use rank(a) to find the rank of the matrix, as shown in the figure Shown:

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