import { BigNumberMatrix, NumberMatrix, NumberVector } from "./types";
export declare type EliminassianResult = {
    matrix: NumberMatrix;
    vector: NumberVector;
};
export declare class Alzebra {
    /**
     * Big Number matrix to which operations are applied
     */
    matrix: BigNumberMatrix;
    constructor(matrix: NumberMatrix);
    /**
     * Gaussian Elimination (Solving Systems of Linear Equations)
     * @param solutions - The solutions vector (b in Ax = b)
     * @returns An object with the reduced matrix and reduced vector (x in Ax = b if there is a solution)
     * @example
     * ```javascript
     * const matrix = [
     *  [1, 1, 0],
     *  [0, 1, 1],
     *  [2, 1, 1],
     * ];
     *
     * const solutions = [10, 15, 25];
     * const resultObj = new Alzebra(matrix).eliminassian(solutions);
     *
     * // This is what the `resultObj` variable is
     * const equivalentResultsObj = {
     *  matrix: [
     *    [1, 0, 0],
     *    [0, 1, 0],
     *    [0, 0, 1],
     *  ],
     *  vector: [5, 5, 10]
     * }
     * ```
     */
    eliminassian(solutions: NumberVector): EliminassianResult;
    private static checkMatrixRows;
    private static bigNumVector;
    private static bigNumMatrix;
    static copyBigMatrix: (matrix: BigNumberMatrix) => BigNumberMatrix;
}
export * from "./types";
export default Alzebra;