mathjs/docs/reference/functions/trace.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.

# Function trace

Calculate the trace of a matrix: the sum of the elements on the main
diagonal of a square matrix.


## Syntax

```js
math.trace(x)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`x` | Array | Matrix | A matrix

### Returns

Type | Description
---- | -----------
Number | The trace of `x`


## Examples

```js
math.trace([[1, 2], [3, 4]]); // returns 5

var A = [
  [1, 2, 3],
  [-1, 2, 3],
  [2, 0, 3]
]
math.trace(A); // returns 6
```


## See also

[diag](diag.md)


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