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