Continuous functions with this property are shown to be equivalent to an integral with respect to a unique measure by the Riesz representation theorem. The Hahn–Banach theorem allows bounded functions with this property on a subspace to be extended to an entire space. The complex spectral theorem equates normality and having diagonalizable matrix representations for maps with this property. The dimension of the (*) kernel and image of a transformation with this property (10[1])sum to the dimension of the input vector space according to the rank-nullity theorem. Maps with this property preserve vector addition and scalar multiplication across two vector spaces. A list of vectors that spans a vector space satisfying [this adjective]’s independence is called a basis. For 10 points, give this property that names equations of the form y=mx+b ■END■