| 31. | For linear transformations f : V \ to W, uniform continuity is equivalent to continuity.
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| 32. | This operator is a continuous linear transformation on D ( " U " ).
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| 33. | It is also the group of determinant-preserving linear transformations of the exceptional Jordan algebra.
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| 34. | Note that active transformations make sense even as a linear transformation into a different vector space.
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| 35. | Matrices allow arbitrary linear transformations to be represented in a consistent format, suitable for computation.
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| 36. | The above described transformation is a linear transformation from the CIE RGB space to XYZ space.
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| 37. | This group biholomorphically acts on the complex upper half-plane by fractional-linear transformations,
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| 38. | Thus the overall Mahler volume of " B " is preserved by linear transformations.
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| 39. | However, in summary, a linear transformation can just be thought of as a matrix.
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| 40. | A general linear transformation of this type has 2 2 " n " dimensions.
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