Similarity-transformation
noun, Mathematics.
1.
Also called homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements.
2.
an operation performed upon a square matrix that leaves invariant its characteristic polynomial, trace, and determinant. The transformation is obtained by multiplying the given matrix on one side by any nonsingular matrix and on the other by the inverse of that nonsingular matrix.
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adjective 1. having a likeness or resemblance, especially in a general way: two similar houses. 2. Geometry. (of figures) having the same shape; having corresponding sides proportional and corresponding angles equal: similar triangles. 3. Mathematics. (of two square matrices) related by means of a similarity transformation. adjective 1. showing resemblance in qualities, characteristics, or appearance; […]
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