11. This is due to a negative sign in the linear transformation between them. 12. Consequently, any linear transformation corresponding to a signature matrix constitutes an isometry. 13. The automorphisms of this subgroup are therefore given by the invertible linear transformations , so 14. It also features 2D graphics with linear transformations . 15. Lorentz transformations are Poincar?transformations which are linear transformations ( preserve the origin ). 16. In two dimensions, linear transformations can be represented using a 2? transformation matrix. 17. Therefore, any linear transformation can also be represented by a general transformation matrix. 18. The zero matrix represents the linear transformation sending all vectors to the zero vector. 19. General supermatrices represent an arbitrary ungraded linear transformation . 20. :The algebraic multiplicity of an eigenvalue ? of a linear transformation is significant.
