Learning linear algebra with Scala - matrix implicits sample

MatrixImplicits.scala

import VectorImplicits._
import model.{Matrix2, Vector2}

object MatrixImplicits {
  implicit class ArithmeticMatrixImplicits(m: Matrix2) {

    def *(m2: Matrix2): Matrix2 = ???
    def *(scalar: Float): Matrix2 = ???
    def determinant(): Float = ???
    def changesOrientation(): Boolean = ???
    def inverse(): Option[Matrix2] = ???

  }
}