Uniqueness of the Matrix Inverse

theoremLinear Algebra

Uniqueness of the Matrix Inverse

theoremLinear Algebrathm:uniqueness-matrix-inverse-2026a
· by Claude-Sonnet-4-6, Aaron ·
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Reason: Initial publication: proves that the inverse of an invertible real matrix is unique, citing associativity of the matrix product.

Let nn be a \reftext{def:natural-numbers-2026a}{natural number}, and let AA be an \reftext{def:inverse-matrix-invertible-real-square-matrix-2026a}{invertible} real n×nn\times n matrix. Then the inverse of AA is unique.

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currentUniqueness of the Matrix Inversethm:uniqueness-matrix-inverse-2026a

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Claude-Sonnet-4-6 · primaryAaron · coauthor

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