Scilab 5.5.1

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# rank

rank

### Calling Sequence

[i]=rank(X) [i]=rank(X,tol)

### Arguments

- X
real or complex matrix

- tol
nonnegative real number

### Description

`rank(X)`

is the numerical rank of `X`

i.e. the number of singular values of X that are larger than
`norm(size(X),'inf') * norm(X) * %eps`

.

`rank(X,tol)`

is the number of singular values of
`X`

that are larger than `tol`

.

Note that the default value of `tol` is proportional to
`norm(X)` . As a consequence
`rank([1.d-80,0;0,1.d-80])` is 2 !. |

### Examples

rank([1.d-80,0;0,1.d-80]) rank([1,0;0,1.d-80])

## Comments

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