The difference between Interchange and Transpose
When used as nouns, interchange means an act of interchanging, whereas transpose means in matrix mathematics, the resulting matrix, derived from performing a transpose operation on a given matrix.
When used as verbs, interchange means to switch (each of two things), whereas transpose means to reverse or change the order of (two or more things).
Transpose is also adjective with the meaning: in matrix mathematics, a matrix with the characteristic of having been transposed from a given matrix.
check bellow for the other definitions of Interchange and Transpose
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Interchange as a verb (transitive):
to switch (each of two things)
Examples:
"to interchange places"
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Interchange as a verb (transitive):
to mutually give and receive (something); to exchange
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Interchange as a verb (intransitive):
to swap or change places
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Interchange as a verb (transitive):
to alternate; to intermingle or vary
Examples:
"to interchange cares with pleasures"
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Interchange as a noun:
An act of interchanging.
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Interchange as a noun:
A highway junction in which traffic may change from one road to another without crossing a stream of traffic.
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Interchange as a noun (rail transport):
A connection between two or more lines, services or modes of transport; a station at which such a connection can be made.
Examples:
"Holborn tube station is the only interchange between the London Underground Central and Piccadilly Lines"
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Transpose as a verb (transitive):
To reverse or change the order of (two or more things); to swap or interchange.
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Transpose as a verb (transitive, music):
To rewrite or perform (a piece) in another key
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Transpose as a verb (transitive, algebra):
To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
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Transpose as a verb (transitive, mathematics):
To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
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Transpose as an adjective (adjective, algebra):
In matrix mathematics, a matrix with the characteristic of having been transposed from a given matrix.
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Transpose as a noun (adjective, algebra):
In matrix mathematics, the resulting matrix, derived from performing a transpose operation on a given matrix.
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Transpose as a noun (linear algebra):
In matrix mathematics, the process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.