Object
- Matrix22

All Implemented Interfaces:

Copyable<Matrix22>
```
public class Matrix22
extends Object
implements Copyable<Matrix22>
```
Represents a 2x2 Matrix.
Used to solve 2x2 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 m10
The element at 1,0

double m11
The element at 1,1

Constructor Summary

Constructors
Constructor	Description
`Matrix22()`	Default constructor.
`Matrix22(double[] values)`	Full constructor.
`Matrix22(double m00, double m01, double m10, double m11)`	Full constructor.
`Matrix22(Matrix22 matrix)`	Copy constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`Matrix22`	`add(Matrix22 matrix)`	Adds the given `Matrix22` to this `Matrix22` returning this `Matrix22`.
`Matrix22`	`copy()`	Returns a deep copy of this object.
`double`	`determinant()`	Returns the determinant of this `Matrix22`.
`Matrix22`	`difference(Matrix22 matrix)`	Returns a new `Matrix22` that is the difference of this `Matrix22` and the given `Matrix22`.
`boolean`	`equals(Object obj)`
`Matrix22`	`getInverse()`	Returns a new `Matrix22` containing the inverse of this `Matrix22`.
`Matrix22`	`getTranspose()`	Returns the the transpose of this `Matrix22` in a new `Matrix22`.
`int`	`hashCode()`
`Matrix22`	`identity()`	Sets this `Matrix22` to an identity `Matrix22`.
`Matrix22`	`invert()`	Performs the inverse of this `Matrix22` and places the result in this `Matrix22`.
`void`	`invert(Matrix22 dest)`	Performs the inverse of this `Matrix22` and places the result in the given `Matrix22`.
`Matrix22`	`multiply(double scalar)`	Multiplies this `Matrix22` by the given scalar and places the result in this `Matrix22`.
`Matrix22`	`multiply(Matrix22 matrix)`	Multiplies this `Matrix22` by the given matrix `Matrix22` returning this `Matrix22`.
`Vector2`	`multiply(Vector2 vector)`	Multiplies this `Matrix22` by the given `Vector2` and places the result in the given `Vector2`.
`Vector2`	`multiplyT(Vector2 vector)`	Multiplies the given `Vector2` by this `Matrix22` and places the result in the given `Vector2`.
`double`	`norm1()`	Returns the 1-norm of this matrix.
`double`	`normFrobenius()`	Returns the frobenius-norm of this matrix.
`double`	`normInfinity()`	Returns the infinity-norm of this matrix.
`double`	`normMax()`	Returns the max-norm of this matrix.
`Matrix22`	`product(double scalar)`	Multiplies this `Matrix22` by the given scalar returning a new `Matrix22` containing the result.
`Matrix22`	`product(Matrix22 matrix)`	Returns a new `Matrix22` that is the product of this `Matrix22` and the given `Matrix22`.
`Vector2`	`product(Vector2 vector)`	Multiplies this `Matrix22` by the given `Vector2` returning the result in a new `Vector2`.
`Vector2`	`productT(Vector2 vector)`	Multiplies the given `Vector2` by this `Matrix22` returning the result in a new `Vector2`.
`Vector2`	`solve(Vector2 b)`	Solves the system of linear equations:
`Matrix22`	`subtract(Matrix22 matrix)`	Subtracts the given `Matrix22` from this `Matrix22` returning this `Matrix22`.
`Matrix22`	`sum(Matrix22 matrix)`	Returns a new `Matrix22` that is the sum of this `Matrix22` and the given `Matrix22`.
`String`	`toString()`
`Matrix22`	`transpose()`	Sets this `Matrix22` to the transpose of this `Matrix22`.

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
  - m10
```
public double m10
```
    The element at 1,0
  - m11
```
public double m11
```
    The element at 1,1
- Constructor Detail
  - Matrix22
```
public Matrix22()
```
    Default constructor.
  - Matrix22
```
public Matrix22(double m00,
                double m01,
                double m10,
                double m11)
```
    Full constructor.
    
    Parameters:
    
    m00 - the element at 0,0
    
    m01 - the element at 0,1
    
    m10 - the element at 1,0
    
    m11 - the element at 1,1
  - Matrix22
```
public Matrix22(double[] values)
```
    Full constructor.
    The given array should be in the same order as the Matrix22(double, double, double, double) constructor.
    
    Parameters:
    
    values - the values array
    
    Throws:
    
    NullPointerException - if values is null
    
    IllegalArgumentException - if values is not of length 4
  - Matrix22
```
public Matrix22(Matrix22 matrix)
```
    Copy constructor.
    
    Parameters:
    
    matrix - the Matrix22 to copy
- Method Detail
  - copy
```
public Matrix22 copy()
```
    Description copied from interface: Copyable
    
    Returns a deep copy of this object.
    
    Specified by:
    
    copy in interface Copyable<Matrix22>
    
    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 Matrix22 add(Matrix22 matrix)
```
    Adds the given Matrix22 to this Matrix22 returning this Matrix22.
    this = this + m
    Parameters:
    
    matrix - the Matrix22 to add
    
    Returns:
    
    Matrix22 this matrix
  - sum
```
public Matrix22 sum(Matrix22 matrix)
```
    Returns a new Matrix22 that is the sum of this Matrix22 and the given Matrix22.
    r = this + m
    Parameters:
    
    matrix - the Matrix22 to add
    
    Returns:
    
    Matrix22 a new matrix containing the result
  - subtract
```
public Matrix22 subtract(Matrix22 matrix)
```
    Subtracts the given Matrix22 from this Matrix22 returning this Matrix22.
    this = this - m
    Parameters:
    
    matrix - the Matrix22 to subtract
    
    Returns:
    
    Matrix22 this matrix
  - difference
```
public Matrix22 difference(Matrix22 matrix)
```
    Returns a new Matrix22 that is the difference of this Matrix22 and the given Matrix22.
    r = this - m
    Parameters:
    
    matrix - the Matrix22 to subtract
    
    Returns:
    
    Matrix22 a new matrix containing the result
  - multiply
```
public Matrix22 multiply(Matrix22 matrix)
```
    Multiplies this Matrix22 by the given matrix Matrix22 returning this Matrix22.
    this = this * m
    Parameters:
    
    matrix - the Matrix22 to subtract
    
    Returns:
    
    Matrix22 this matrix
  - product
```
public Matrix22 product(Matrix22 matrix)
```
    Returns a new Matrix22 that is the product of this Matrix22 and the given Matrix22.
    r = this * m
    Parameters:
    
    matrix - the Matrix22 to multiply
    
    Returns:
    
    Matrix22 a new matrix containing the result
  - multiply
```
public Vector2 multiply(Vector2 vector)
```
    Multiplies this Matrix22 by the given Vector2 and places the result in the given Vector2.
    v = this * v
    Parameters:
    
    vector - the Vector2 to multiply
    
    Returns:
    
    Vector2 the vector result
  - product
```
public Vector2 product(Vector2 vector)
```
    Multiplies this Matrix22 by the given Vector2 returning the result in a new Vector2.
    r = this * v
    Parameters:
    
    vector - the Vector2 to multiply
    
    Returns:
    
    Vector2 the vector result
  - multiplyT
```
public Vector2 multiplyT(Vector2 vector)
```
    Multiplies the given Vector2 by this Matrix22 and places the result in the given Vector2.
    v = v^T * this
    
    Parameters:
    
    vector - the Vector2 to multiply
    
    Returns:
    
    Vector2 the vector result
  - productT
```
public Vector2 productT(Vector2 vector)
```
    Multiplies the given Vector2 by this Matrix22 returning the result in a new Vector2.
    r = v^T * this
    
    Parameters:
    
    vector - the Vector2 to multiply
    
    Returns:
    
    Vector2 the vector result
  - multiply
```
public Matrix22 multiply(double scalar)
```
    Multiplies this Matrix22 by the given scalar and places the result in this Matrix22.
    this = this * scalar
    Parameters:
    
    scalar - the scalar to multiply by
    
    Returns:
    
    Matrix22 this matrix
  - product
```
public Matrix22 product(double scalar)
```
    Multiplies this Matrix22 by the given scalar returning a new Matrix22 containing the result.
    r = this * scalar
    Parameters:
    
    scalar - the scalar to multiply by
    
    Returns:
    
    Matrix22 a new matrix containing the result
  - identity
```
public Matrix22 identity()
```
    Sets this Matrix22 to an identity Matrix22.
    
    Returns:
    
    Matrix22 this matrix
  - transpose
```
public Matrix22 transpose()
```
    Sets this Matrix22 to the transpose of this Matrix22.
    
    Returns:
    
    Matrix22 this matrix
  - getTranspose
```
public Matrix22 getTranspose()
```
    Returns the the transpose of this Matrix22 in a new Matrix22.
    
    Returns:
    
    Matrix22 a new matrix contianing the transpose
  - determinant
```
public double determinant()
```
    Returns the determinant of this Matrix22.
    
    Returns:
    
    double
  - invert
```
public Matrix22 invert()
```
    Performs the inverse of this Matrix22 and places the result in this Matrix22.
    
    Returns:
    
    Matrix22 this matrix
  - invert
```
public void invert(Matrix22 dest)
```
    Performs the inverse of this Matrix22 and places the result in the given Matrix22.
    
    Parameters:
    
    dest - the destination for the inverse
    
    Since:
    
    4.0.0
  - getInverse
```
public Matrix22 getInverse()
```
    Returns a new Matrix22 containing the inverse of this Matrix22.
    
    Returns:
    
    Matrix22 a new matrix containing the result
  - solve
```
public Vector2 solve(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
  - normMax
```
public double normMax()
```
    Returns the max-norm of this matrix.
    
    Returns:
    
    double
  - normInfinity
```
public double normInfinity()
```
    Returns the infinity-norm of this matrix.
    
    Returns:
    
    double
  - norm1
```
public double norm1()
```
    Returns the 1-norm of this matrix.
    
    Returns:
    
    double
  - normFrobenius
```
public double normFrobenius()
```
    Returns the frobenius-norm of this matrix.
    
    Returns:
    
    double

Modifier and Type	Field	Description
`double`	`m00`	The element at 0,0
`double`	`m01`	The element at 0,1
`double`	`m10`	The element at 1,0
`double`	`m11`	The element at 1,1

Class Matrix22

Field Summary

Constructor Summary

Method Summary

Methods inherited from class Object

Field Detail

m00

m01

m10

m11

Constructor Detail

Matrix22

Matrix22

Matrix22

Matrix22

Method Detail

copy

hashCode

equals

toString

add

sum

subtract

difference

multiply

product

multiply

product

multiplyT

productT

multiply

product

identity

transpose

getTranspose

determinant

invert

invert

getInverse

solve

normMax

normInfinity

norm1

normFrobenius