import { Vector } from './Vector';
/** A 2x2 matrix. */
export declare class Matrix {
    /** The identity matrix. */
    static readonly Identity: Matrix;
    /** Constructs a matrix from two basis vectors. */
    static fromBasis(v1: Vector, v2: Vector): Matrix;
    /** Constructs a transformation matrix representing a rotation by the specified angle in radians. */
    static rotation(radians: number): Matrix;
    /** Constructs a transformation matrix representing a shear parallel to the X axis. */
    static xShear(k: number): Matrix;
    /** Constructs a transformation matrix representing a shear parallel to the Y axis. */
    static yShear(k: number): Matrix;
    /** Constructs a transformation matrix representing a stretch (or compression). */
    static stretch(x: number, y: number): Matrix;
    /** First row, first column. */
    readonly a: number;
    /** First row, second column. */
    readonly b: number;
    /** Second row, first column. */
    readonly c: number;
    /** Second row, second column. */
    readonly d: number;
    /** Constructs a 2x2 matrix given its four values (first row then second row). */
    constructor(a: number, b: number, c: number, d: number);
    /** Returns the determinant of this matrix. */
    determinant(): number;
    /**
     * Returns the inverse matrix of this matrix.
     * Throws an error if the determinant is zero,
     * and thus no inverse exists.
    */
    inverse(): Matrix;
    /** Returns the result of multipling this matrix by another matrix. */
    timesMatrix(m: Matrix): Matrix;
    /** Returns the result of multipling this matrix by a vector. */
    timesVector(v: Vector): Vector;
}