Cryptocurrency Q&A
Why is the inverse unique?
Why is the inverse unique?
charlotte_wilson_coder
Wed Mar 19 2025
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5
answers
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I'm trying to understand why the inverse of a particular element or function is always unique. I want to know the reason behind this uniqueness and how it is ensured.
5 answers
HanjiHandiwork
Fri Mar 21 2025
The theorem that follows establishes a crucial property of matrix inverses.
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Valentina
Fri Mar 21 2025
Specifically, it demonstrates that the inverse of a matrix, if it exists, must be unique.
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Federico
Fri Mar 21 2025
To elaborate, consider a scenario where B and C are both inverses of an n × n matrix A.
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AndrewMiller
Fri Mar 21 2025
According to the theorem, this implies that B must equal C.
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Eleonora
Thu Mar 20 2025
This uniqueness is supported by Theorem 2.11, which states that a nonsingular matrix A can possess only one inverse.
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