# shz_mat4x4_3x3_determinant

Source: https://sh4zam.com/api/matrix/shz_mat4x4_3x3_determinant/

```c
SHZ_INLINE float shz_mat4x4_3x3_determinant(const shz_mat4x4_t* mat) SHZ_NOEXCEPT;
```

Returns the determinant of the given 4x4 matrix's internal top-level 3x3 matrix.

## Parameters

| Name | Type | Description |
| --- | --- | --- |
| `mat` | `const shz_mat4x4_t *` |  |

## Returns

`float`

## Naming and requirements

- `shz_mat4x4_t` and `shz_mat2x2_t` arguments must be 8-byte aligned. Unaligned data goes through the `float[16]` parameters of the `_unaligned` routines.

## Availability

- **C++ equivalent:** none (call the C function from C++)
- **Type-generic form:** none
- **Back-ends:** SH4: shared C implementation · SW: portable C · SPU: shared C implementation
- **Defined in:** [`sh4zam/shz_matrix.h:339`](https://github.com/gyrovorbis/sh4zam/blob/ba1e30c88d49df0311870b229e1dd860ef26c477/include/sh4zam/shz_matrix.h#L339)
- **Module:** [Matrix](https://sh4zam.com/api/matrix/), section "Getting"