# Documentation

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## Generate Cauchy Random Numbers Using Student's t

This example shows how to use the Student's t distribution to generate random numbers from a standard Cauchy distribution.

### Step 1. Generate a vector of random numbers.

Generate a column vector containing 10 random numbers from a standard Cauchy distribution, which has a location parameter ```mu = 0``` and scale parameter `sigma = 1`. Use `trnd` with degrees of freedom `V = 1`.

```rng('default'); % For reproducibility r = trnd(1,10,1)```
```r = 0.2678 1.6547 -0.9396 1.7322 0.1810 -1.3351 -1.1529 1.2466 2.4647 5.8874```

### Step 2. Generate a matrix of random numbers.

Generate a 5-by-5 matrix of random numbers from a standard Cauchy distribution.

`r = trnd(1,5,5)`
```r = -0.7133 -0.0308 -4.7003 2.5949 -1.0194 -0.2579 -0.2820 0.2210 -0.5767 0.1394 0.5966 0.9806 -1.9818 3.4180 2.1367 2.4791 12.6472 -2.2442 -0.1092 2.9031 -1.3137 1.0985 -0.0066 10.9506 1.8792```