Object
- Matrix33

All Implemented Interfaces:

Copyable<Matrix33>
```
public class Matrix33
extends Object
implements Copyable<Matrix33>
```
Represents a 3x3 Matrix.
Used to solve 3x3 systems of equations.

Since:

1.0.0

Version:

4.0.0

Author:

William Bittle

Field Summary

Fields
Modifier and Type	Field	Description
`double`	`m00`	The element at 0,0
`double`	`m01`	The element at 0,1
`double`	`m02`	The element at 0,2
`double`	`m10`	The element at 1,0
`double`	`m11`	The element at 1,1
`double`	`m12`	The element at 1,2
`double`	`m20`	The element at 2,0
`double`	`m21`	The element at 2,1
`double`	`m22`	The element at 2,2

Constructor Summary

Constructors
Constructor	Description
`Matrix33()`	Default constructor.
`Matrix33(double[] values)`	Full constructor.
`Matrix33(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)`	Full constructor.
`Matrix33(Matrix33 matrix)`	Copy constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`Matrix33`	`add(Matrix33 matrix)`	Adds the given `Matrix33` to this `Matrix33` returning this `Matrix33`.
`Matrix33`	`copy()`	Returns a deep copy of this object.
`double`	`determinant()`	Returns the determinant of this `Matrix33`.
`Matrix33`	`difference(Matrix33 matrix)`	Returns a new `Matrix33` that is the difference of this `Matrix33` and the given `Matrix33`.
`boolean`	`equals(Object obj)`
`Matrix33`	`getInverse()`	Returns a new `Matrix33` containing the inverse of this `Matrix33`.
`Matrix33`	`getTranspose()`	Returns the the transpose of this `Matrix33` in a new `Matrix33`.
`int`	`hashCode()`
`Matrix33`	`identity()`	Sets this `Matrix33` to an identity `Matrix33`.
`Matrix33`	`invert()`	Performs the inverse of this `Matrix33` and places the result in this `Matrix33`.
`Matrix33`	`multiply(double scalar)`	Multiplies this `Matrix33` by the given scalar and places the result in this `Matrix33`.
`Matrix33`	`multiply(Matrix33 matrix)`	Multiplies this `Matrix33` by the given matrix `Matrix33` returning this `Matrix33`.
`Vector3`	`multiply(Vector3 vector)`	Multiplies this `Matrix33` by the given `Vector3` and places the result in the given `Vector3`.
`Vector3`	`multiplyT(Vector3 vector)`	Multiplies the given `Vector3` by this `Matrix33` and places the result in the given `Vector3`.
`Matrix33`	`product(double scalar)`	Multiplies this `Matrix33` by the given scalar returning a new `Matrix33` containing the result.
`Matrix33`	`product(Matrix33 matrix)`	Returns a new `Matrix33` that is the product of this `Matrix33` and the given `Matrix33`.
`Vector3`	`product(Vector3 vector)`	Multiplies this `Matrix33` by the given `Vector3` returning the result in a new `Vector3`.
`Vector3`	`productT(Vector3 vector)`	Multiplies the given `Vector3` by this `Matrix33` returning the result in a new `Vector3`.
`Vector2`	`solve22(Vector2 b)`	Solves the system of linear equations:
`Vector3`	`solve33(Vector3 b)`	Solves the system of linear equations:
`Matrix33`	`subtract(Matrix33 matrix)`	Subtracts the given `Matrix33` from this `Matrix33` returning this `Matrix33`.
`Matrix33`	`sum(Matrix33 matrix)`	Returns a new `Matrix33` that is the sum of this `Matrix33` and the given `Matrix33`.
`String`	`toString()`
`Matrix33`	`transpose()`	Sets this `Matrix33` to the transpose of this `Matrix33`.

Methods inherited from class Object
getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - m00
```
public double m00
```
    The element at 0,0
  - m01
```
public double m01
```
    The element at 0,1
  - m02
```
public double m02
```
    The element at 0,2
  - m10
```
public double m10
```
    The element at 1,0
  - m11
```
public double m11
```
    The element at 1,1
  - m12
```
public double m12
```
    The element at 1,2
  - m20
```
public double m20
```
    The element at 2,0
  - m21
```
public double m21
```
    The element at 2,1
  - m22
```
public double m22
```
    The element at 2,2
- Constructor Detail
  - Matrix33
```
public Matrix33()
```
    Default constructor.
  - Matrix33
```
public Matrix33(double m00,
                double m01,
                double m02,
                double m10,
                double m11,
                double m12,
                double m20,
                double m21,
                double m22)
```
    Full constructor.
    
    Parameters:
    
    m00 - the element at 0,0
    
    m01 - the element at 0,1
    
    m02 - the element at 0,2
    
    m10 - the element at 1,0
    
    m11 - the element at 1,1
    
    m12 - the element at 1,2
    
    m20 - the element at 2,0
    
    m21 - the element at 2,1
    
    m22 - the element at 2,2
  - Matrix33
```
public Matrix33(double[] values)
```
    Full constructor.
    The given array should be in the same order as the Matrix33(double, double, double, double, double, double, double, double, double) constructor.
    
    Parameters:
    
    values - the values array
    
    Throws:
    
    NullPointerException - if values is null
    
    IllegalArgumentException - if values is not length 9
  - Matrix33
```
public Matrix33(Matrix33 matrix)
```
    Copy constructor.
    
    Parameters:
    
    matrix - the Matrix33 to copy
- Method Detail
  - copy
```
public Matrix33 copy()
```
    Description copied from interface: Copyable
    
    Returns a deep copy of this object.
    
    Specified by:
    
    copy in interface Copyable<Matrix33>
    
    Returns:
    
    T
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object
  - add
```
public Matrix33 add(Matrix33 matrix)
```
    Adds the given Matrix33 to this Matrix33 returning this Matrix33.
    this = this + m
    Parameters:
    
    matrix - the Matrix33 to add
    
    Returns:
    
    Matrix33 this matrix
  - sum
```
public Matrix33 sum(Matrix33 matrix)
```
    Returns a new Matrix33 that is the sum of this Matrix33 and the given Matrix33.
    r = this + m
    Parameters:
    
    matrix - the Matrix33 to add
    
    Returns:
    
    Matrix33 a new matrix containing the result
  - subtract
```
public Matrix33 subtract(Matrix33 matrix)
```
    Subtracts the given Matrix33 from this Matrix33 returning this Matrix33.
    this = this - m
    Parameters:
    
    matrix - the Matrix33 to subtract
    
    Returns:
    
    Matrix33 this matrix
  - difference
```
public Matrix33 difference(Matrix33 matrix)
```
    Returns a new Matrix33 that is the difference of this Matrix33 and the given Matrix33.
    r = this - m
    Parameters:
    
    matrix - the Matrix33 to subtract
    
    Returns:
    
    Matrix33 a new matrix containing the result
  - multiply
```
public Matrix33 multiply(Matrix33 matrix)
```
    Multiplies this Matrix33 by the given matrix Matrix33 returning this Matrix33.
    this = this * m
    Parameters:
    
    matrix - the Matrix33 to subtract
    
    Returns:
    
    Matrix33 this matrix
  - product
```
public Matrix33 product(Matrix33 matrix)
```
    Returns a new Matrix33 that is the product of this Matrix33 and the given Matrix33.
    r = this * m
    Parameters:
    
    matrix - the Matrix33 to multiply
    
    Returns:
    
    Matrix33 a new matrix containing the result
  - multiply
```
public Vector3 multiply(Vector3 vector)
```
    Multiplies this Matrix33 by the given Vector3 and places the result in the given Vector3.
    v = this * v
    Parameters:
    
    vector - the Vector3 to multiply
    
    Returns:
    
    Vector3 the vector result
  - product
```
public Vector3 product(Vector3 vector)
```
    Multiplies this Matrix33 by the given Vector3 returning the result in a new Vector3.
    r = this * v
    Parameters:
    
    vector - the Vector3 to multiply
    
    Returns:
    
    Vector3 the vector result
  - multiplyT
```
public Vector3 multiplyT(Vector3 vector)
```
    Multiplies the given Vector3 by this Matrix33 and places the result in the given Vector3.
    v = v^T * this
    
    Parameters:
    
    vector - the Vector3 to multiply
    
    Returns:
    
    Vector3 the vector result
  - productT
```
public Vector3 productT(Vector3 vector)
```
    Multiplies the given Vector3 by this Matrix33 returning the result in a new Vector3.
    r = v^T * this
    
    Parameters:
    
    vector - the Vector3 to multiply
    
    Returns:
    
    Vector3 the vector result
  - multiply
```
public Matrix33 multiply(double scalar)
```
    Multiplies this Matrix33 by the given scalar and places the result in this Matrix33.
    this = this * scalar
    Parameters:
    
    scalar - the scalar to multiply by
    
    Returns:
    
    Matrix33 this matrix
  - product
```
public Matrix33 product(double scalar)
```
    Multiplies this Matrix33 by the given scalar returning a new Matrix33 containing the result.
    r = this * scalar
    Parameters:
    
    scalar - the scalar to multiply by
    
    Returns:
    
    Matrix33 a new matrix containing the result
  - identity
```
public Matrix33 identity()
```
    Sets this Matrix33 to an identity Matrix33.
    
    Returns:
    
    Matrix33 this matrix
  - transpose
```
public Matrix33 transpose()
```
    Sets this Matrix33 to the transpose of this Matrix33.
    
    Returns:
    
    Matrix33 this matrix
  - getTranspose
```
public Matrix33 getTranspose()
```
    Returns the the transpose of this Matrix33 in a new Matrix33.
    
    Returns:
    
    Matrix33 a new matrix contianing the transpose
  - determinant
```
public double determinant()
```
    Returns the determinant of this Matrix33.
    
    Returns:
    
    double
  - invert
```
public Matrix33 invert()
```
    Performs the inverse of this Matrix33 and places the result in this Matrix33.
    
    Returns:
    
    Matrix33 this matrix
  - getInverse
```
public Matrix33 getInverse()
```
    Returns a new Matrix33 containing the inverse of this Matrix33.
    
    Returns:
    
    Matrix33 a new matrix containing the result
  - solve33
```
public Vector3 solve33(Vector3 b)
```
    Solves the system of linear equations:
    Ax = b Multiply by A^-1 on both sides x = A^-1b
    
    Parameters:
    
    b - the b Vector3
    
    Returns:
    
    Vector3 the x vector
  - solve22
```
public Vector2 solve22(Vector2 b)
```
    Solves the system of linear equations:
    Ax = b Multiply by A^-1 on both sides x = A^-1b
    
    Parameters:
    
    b - the b Vector2
    
    Returns:
    
    Vector2 the x vector

Class Matrix33

Field Summary

Constructor Summary

Method Summary

Methods inherited from class Object

Field Detail

m00

m01

m02

m10

m11

m12

m20

m21

m22

Constructor Detail

Matrix33

Matrix33

Matrix33

Matrix33

Method Detail

copy

hashCode

equals

toString

add

sum

subtract

difference

multiply

product

multiply

product

multiplyT

productT

multiply

product

identity

transpose

getTranspose

determinant

invert

getInverse

solve33

solve22