R: Rank of a square matrix

matrix.rank {matrixcalc} | R Documentation

## Rank of a square matrix

### Description

This function returns the rank of a square numeric matrix based on the selected method.

### Usage

    matrix.rank(x, method = c("qr", "chol"))

### Arguments

`x` | a matrix
`method` | a character string that specifies the method to be used

### Details

If the user specifies "qr" as the method, then the QR decomposition function is used to obtain the rank. If the user specifies "chol" as the method, the rank is obtained from the attributes of the value returned.

### Value

An integer.

### Note

If the argument is not a square numeric matrix, then the function presents an error message and stops.

### Author(s)

Frederick Novomestky fnovomes@poly.edu

### References

Bellman, R. (1987). Matrix Analysis, Second edition, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics.

### See Also

`is.square.matrix`

### Examples

    A <- diag( seq( 1, 4, 1 ) )
    matrix.rank( A )
    B <- matrix( seq( 1, 16, 1 ), nrow=4, byrow=TRUE )
    matrix.rank( B )

[Package matrixcalc version 1.0-3 Index]