### Methods

#### (static) add(out, a, b) → {mat3}

Adds two mat3's

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the first operand |

`b` |
mat3 | the second operand |

##### Returns:

out

- Type
- mat3

#### (static) adjoint(out, a) → {mat3}

Calculates the adjugate of a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the source matrix |

##### Returns:

out

- Type
- mat3

#### (static) clone(a) → {mat3}

Creates a new mat3 initialized with values from an existing matrix

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
mat3 | matrix to clone |

##### Returns:

a new 3x3 matrix

- Type
- mat3

#### (static) copy(out, a) → {mat3}

Copy the values from one mat3 to another

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the source matrix |

##### Returns:

out

- Type
- mat3

#### (static) create() → {mat3}

Creates a new identity mat3

##### Returns:

a new 3x3 matrix

- Type
- mat3

#### (static) determinant(a) → {Number}

Calculates the determinant of a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
mat3 | the source matrix |

##### Returns:

determinant of a

- Type
- Number

#### (static) equals(a, b) → {Boolean}

Returns whether or not the matrices have approximately the same elements in the same position.

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
mat3 | The first matrix. |

`b` |
mat3 | The second matrix. |

##### Returns:

True if the matrices are equal, false otherwise.

- Type
- Boolean

#### (static) exactEquals(a, b) → {Boolean}

Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
mat3 | The first matrix. |

`b` |
mat3 | The second matrix. |

##### Returns:

True if the matrices are equal, false otherwise.

- Type
- Boolean

#### (static) frob(a) → {Number}

Returns Frobenius norm of a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
mat3 | the matrix to calculate Frobenius norm of |

##### Returns:

Frobenius norm

- Type
- Number

#### (static) fromMat2d(out, a) → {mat3}

Copies the values from a mat2d into a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat2d | the matrix to copy |

##### Returns:

out

- Type
- mat3

#### (static) fromMat4(out, a) → {mat3}

Copies the upper-left 3x3 values into the given mat3.

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving 3x3 matrix |

`a` |
mat4 | the source 4x4 matrix |

##### Returns:

out

- Type
- mat3

#### (static) fromQuat(out, q) → {mat3}

Calculates a 3x3 matrix from the given quaternion

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | mat3 receiving operation result |

`q` |
quat | Quaternion to create matrix from |

##### Returns:

out

- Type
- mat3

#### (static) fromRotation(out, rad) → {mat3}

Creates a matrix from a given angle
This is equivalent to (but much faster than):
mat3.identity(dest);
mat3.rotate(dest, dest, rad);

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | mat3 receiving operation result |

`rad` |
Number | the angle to rotate the matrix by |

##### Returns:

out

- Type
- mat3

#### (static) fromScaling(out, v) → {mat3}

Creates a matrix from a vector scaling
This is equivalent to (but much faster than):
mat3.identity(dest);
mat3.scale(dest, dest, vec);

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | mat3 receiving operation result |

`v` |
vec2 | Scaling vector |

##### Returns:

out

- Type
- mat3

#### (static) fromTranslation(out, v) → {mat3}

Creates a matrix from a vector translation
This is equivalent to (but much faster than):
mat3.identity(dest);
mat3.translate(dest, dest, vec);

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | mat3 receiving operation result |

`v` |
vec2 | Translation vector |

##### Returns:

out

- Type
- mat3

#### (static) fromValues(m00, m01, m02, m10, m11, m12, m20, m21, m22) → {mat3}

Create a new mat3 with the given values

##### Parameters:

Name | Type | Description |
---|---|---|

`m00` |
Number | Component in column 0, row 0 position (index 0) |

`m01` |
Number | Component in column 0, row 1 position (index 1) |

`m02` |
Number | Component in column 0, row 2 position (index 2) |

`m10` |
Number | Component in column 1, row 0 position (index 3) |

`m11` |
Number | Component in column 1, row 1 position (index 4) |

`m12` |
Number | Component in column 1, row 2 position (index 5) |

`m20` |
Number | Component in column 2, row 0 position (index 6) |

`m21` |
Number | Component in column 2, row 1 position (index 7) |

`m22` |
Number | Component in column 2, row 2 position (index 8) |

##### Returns:

A new mat3

- Type
- mat3

#### (static) identity(out) → {mat3}

Set a mat3 to the identity matrix

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

##### Returns:

out

- Type
- mat3

#### (static) invert(out, a) → {mat3}

Inverts a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the source matrix |

##### Returns:

out

- Type
- mat3

#### (static) mul()

Alias for mat3.multiply

#### (static) multiply(out, a, b) → {mat3}

Multiplies two mat3's

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the first operand |

`b` |
mat3 | the second operand |

##### Returns:

out

- Type
- mat3

#### (static) multiplyScalar(out, a, b) → {mat3}

Multiply each element of the matrix by a scalar.

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the matrix to scale |

`b` |
Number | amount to scale the matrix's elements by |

##### Returns:

out

- Type
- mat3

#### (static) multiplyScalarAndAdd(out, a, b, scale) → {mat3}

Adds two mat3's after multiplying each element of the second operand by a scalar value.

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving vector |

`a` |
mat3 | the first operand |

`b` |
mat3 | the second operand |

`scale` |
Number | the amount to scale b's elements by before adding |

##### Returns:

out

- Type
- mat3

#### (static) normalFromMat4(out, a) → {mat3}

Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | mat3 receiving operation result |

`a` |
mat4 | Mat4 to derive the normal matrix from |

##### Returns:

out

- Type
- mat3

#### (static) projection(out, width, height) → {mat3}

Generates a 2D projection matrix with the given bounds

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | mat3 frustum matrix will be written into |

`width` |
number | Width of your gl context |

`height` |
number | Height of gl context |

##### Returns:

out

- Type
- mat3

#### (static) rotate(out, a, rad) → {mat3}

Rotates a mat3 by the given angle

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the matrix to rotate |

`rad` |
Number | the angle to rotate the matrix by |

##### Returns:

out

- Type
- mat3

#### (static) scale(out, a, v) → {mat3}

Scales the mat3 by the dimensions in the given vec2

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the matrix to rotate |

`v` |
vec2 | the vec2 to scale the matrix by |

##### Returns:

out

- Type
- mat3

#### (static) set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) → {mat3}

Set the components of a mat3 to the given values

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`m00` |
Number | Component in column 0, row 0 position (index 0) |

`m01` |
Number | Component in column 0, row 1 position (index 1) |

`m02` |
Number | Component in column 0, row 2 position (index 2) |

`m10` |
Number | Component in column 1, row 0 position (index 3) |

`m11` |
Number | Component in column 1, row 1 position (index 4) |

`m12` |
Number | Component in column 1, row 2 position (index 5) |

`m20` |
Number | Component in column 2, row 0 position (index 6) |

`m21` |
Number | Component in column 2, row 1 position (index 7) |

`m22` |
Number | Component in column 2, row 2 position (index 8) |

##### Returns:

out

- Type
- mat3

#### (static) str(a) → {String}

Returns a string representation of a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`a` |
mat3 | matrix to represent as a string |

##### Returns:

string representation of the matrix

- Type
- String

#### (static) sub()

Alias for mat3.subtract

#### (static) subtract(out, a, b) → {mat3}

Subtracts matrix b from matrix a

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the first operand |

`b` |
mat3 | the second operand |

##### Returns:

out

- Type
- mat3

#### (static) translate(out, a, v) → {mat3}

Translate a mat3 by the given vector

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the matrix to translate |

`v` |
vec2 | vector to translate by |

##### Returns:

out

- Type
- mat3

#### (static) transpose(out, a) → {mat3}

Transpose the values of a mat3

##### Parameters:

Name | Type | Description |
---|---|---|

`out` |
mat3 | the receiving matrix |

`a` |
mat3 | the source matrix |

##### Returns:

out

- Type
- mat3