The difference between Exchange and Transpose
When used as nouns, exchange means an act of exchanging or trading, whereas transpose means in matrix mathematics, the resulting matrix, derived from performing a transpose operation on a given matrix.
When used as verbs, exchange means to trade or barter, 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 Exchange and Transpose
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Exchange as a noun:
An act of exchanging or trading.
Examples:
"All in all, it was an even exchange."
"an exchange of cattle for grain"
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Exchange as a noun:
A place for conducting trading.
Examples:
"The stock exchange is open for trading."
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Exchange as a noun:
A telephone exchange.
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Exchange as a noun (telephony, US):
The fourth through sixth digits of a ten-digit phone number (the first three before the introduction of area codes).
Examples:
"The 555 exchange is reserved for use by the phone company, which is why it's often used in films."
"NPA-NXX-1234 is standard format, where NPA is the area code and NXX is the exchange."
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Exchange as a noun:
A conversation.
Examples:
"After an exchange with the manager, we were no wiser."
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Exchange as a noun (chess):
The loss of one piece and associated capture of another The loss of a relatively minor piece (typically a bishop or knight) and associated capture of the more advantageous rook
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Exchange as a noun (obsolete):
The thing given or received in return; especially, a publication exchanged for another.
Examples:
"rfquotek Shakespeare"
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Exchange as a noun (biochemistry):
The transfer of substances or elements like gas, amino-acids, ions etc. sometimes through a surface like a membrane.
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Exchange as a noun (finance):
The difference between the values of money in different places.
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Exchange as a verb (transitive):
To trade or barter.
Examples:
"I'll gladly exchange my place for yours."
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Exchange as a verb (transitive):
To replace with, as a substitute.
Examples:
"I'd like to exchange this shirt for one in a larger size."
"Since his arrest, the mob boss has exchanged a mansion for a jail cell."
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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.