Word info Synonyms

linear transformation

Noun

Meaning

linear transformation (plural linear transformations)

(linear algebra) A map between vector spaces which preserves the operations of vector addition and scalar multiplication.

Source: en.wiktionary.org

Synonyms

Examples

As a linear transformation on a one-dimensional space, T′ is equivalent to a scalar multiple. Source: Internet

For fast Fourier transforms (FFTs) (or any linear transformation ) the complex multiplies are by constant coefficients c + di (called twiddle factors in FFTs), in which case two of the additions (d−c and c+d) can be precomputed. Source: Internet

Furthermore, the derivative is a linear transformation, a different type of object from both the numerator and denominator. Source: Internet

Digital filtering generally consists of some linear transformation of a number of surrounding samples around the current sample of the input or output signal. Source: Internet

Because the total derivative is a linear transformation, the functions appearing in the formula can be rewritten as matrices. Source: Internet

Eigenvalues and eigenvectors main In general, the action of a linear transformation may be quite complex. Source: Internet

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