# Documentation

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# full

Convert sparse matrix to full matrix

## Syntax

```A = full(S) ```

## Description

`A = full(S)` converts a sparse matrix `S` to full storage organization, such that `issparse(A)` returns logical `0` (`false`). If `S` is a full matrix, then `A` is identical to `S`.

## Examples

Here is an example of a sparse matrix with a density of about 50%. `sparse(S)` and `full(S)` require about the same number of bytes of storage.

```S = sparse(double(rand(200,200) < 1/2)); A = full(S); whos Name Size Bytes Class Attributes A 200x200 320000 double S 200x200 320824 double sparse ```

## Tips

If `X` is an `m`-by-`n` matrix with `nz` nonzero elements then `full(X)` requires space to store `m*n` elements. On the other hand, `sparse(X)` requires space to store `nz` elements and `(nz+n+1)` integers.

The density of a matrix (`nnz(X)/numel(X)`) determines whether or not it is more efficient to store the matrix as sparse or full. The exact crossover point depends on the matrix class as well as the platform. For example, in 32-bit MATLAB®, a double sparse matrix with less than about 2/3 density will require less space than the same matrix in full storage. In 64-bit MATLAB, however, double matrices with less than half of their elements nonzero are more efficient to store as sparse matrices.