# Function norm Calculate the norm of a number, vector or matrix. The second parameter p is optional. If not provided, it defaults to 2. ## Syntax ```js math.norm(x) math.norm(x, p) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `x` | number | BigNumber | Complex | Array | Matrix | Value for which to calculate the norm `p` | number | BigNumber | string | Vector space. Supported numbers include Infinity and -Infinity. Supported strings are: 'inf', '-inf', and 'fro' (The Frobenius norm) Default value: 2. ### Returns Type | Description ---- | ----------- number | BigNumber | the p-norm ## Examples ```js math.abs(-3.5) // returns 3.5 math.norm(-3.5) // returns 3.5 math.norm(math.complex(3, -4)) // returns 5 math.norm([1, 2, -3], Infinity) // returns 3 math.norm([1, 2, -3], -Infinity) // returns 1 math.norm([3, 4], 2) // returns 5 math.norm([[1, 2], [3, 4]], 1) // returns 6 math.norm([[1, 2], [3, 4]], 'inf') // returns 7 math.norm([[1, 2], [3, 4]], 'fro') // returns 5.477225575051661 ``` ## See also [abs](abs.md), [hypot](hypot.md)