Proof: Inverse of a Matrix is Unique | Linear Algebra

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If a matrix is invertible then its inverse is unique. We prove this elementary property of inverse matrices in this linear algebra lesson using the associativity of matrix multiplication and the properties of the identity matrix. #linearalgebra

Properties of Matrix Multiplication: (coming soon)
Matrix Inverses: (coming soon)

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Комментарии
Автор

Awesome proof! Question, At 1:44 did you mean “matrix multiplication is associative”?

thepotto
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Help me finish this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier!

WrathofMath
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I know this is pretty random, but anyone else here heard of "Inverse Cramer"? 😆

PunmasterSTP
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You put such good songs in the end of the video. Share the name. Hahaha. Nice proof.

Naoseinaosei
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Hello professor, I have problems like below. Would you mind to help me to prove :

let (A, T') be a subspace of a space (X, T), a a member of A, and N a subset of A. then N a neighborhood of a with respect to subspace topology for A if and only if N=U intersect A where U is a neightborhood of a with respect to the topology T on X

uazogchannel
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If A is inverse of B, does it matter if we do AB or BA to get identity?

wryltxw