transponerade

Transponerade is the Swedish past participle form of the verb transponera, meaning that something has undergone transposition. The term is used to describe objects, data, or texts that have been rearranged, moved, or shifted according to a transposition operation. The related noun is transponering, and the base verb is transponera. The form transponerade functions as an adjective or in passive constructions, for example in phrases like den transponerade matrisen or de transponerade talen.

In mathematics and computer science, transponerade commonly refers to the transpose of a matrix or vector. The transponerade matrisen, denoted A^T, is obtained by swapping its rows and columns. Transposition has standard properties, such as (A^T)^T = A and det(A^T) = det(A). The concept is a basic operation in linear algebra and is widely used in algorithms and proofs.

In music, transponerade describes a piece or passage that has been transposed to a different key. This adjustment is often made to suit a singer’s vocal range or an instrument’s tuning. A typical usage is låten transponerades till en annan tonart, meaning the music was moved to another key.

Grammatically, transponerad is the singular form and transponerade the plural or feminine form, with transponering as the corresponding noun for the process. The term is used across disciplines to indicate that a transposition has taken place, and it remains common in technical as well as everyday Swedish.