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linear algebra - If A is invertible, then it can be represented as a product of elementary matrices. - Mathematics Stack Exchange

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Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Explore Teams Looking for your Teams? Stack Overflow for Teams has its own domain! You can now access your Teams at stackoverflowteams.com. Teams no longer appear in the left sidebar on stackoverflow.com. Check your email to learn more about these changes. Teams Q&A for work Connect and share knowledge within a single location that is structured and easy to search. Can someone jog my intuition as to why this is true: If A is nonsingular (a matrix exists that if multiplied by A, gives you the identity matrix), then, by Theorem 2.14, it can be written as the product A= E k ... E 2 E 1 𝐴 = 𝐸 𝑘 . . . 𝐸 2

linear algebra - If A is invertible, then it can be represented as a product of elementary matrices. - Mathematics Stack Exchange Stack Internal Knowledge at work Bring the best of human thought and AI automation together at your work. Explore Stack Internal If A is invertible, then it can be represented as a product of elementary matrices. Ask Question Asked 7 years, 10 months ago Modified 7 years, 10 months ago Viewed 9k times 0 $\begingroup$ Can someone jog my intuition as to why this is true: If A is nonsingular (a matrix exists that if multiplied by A, gives you the identity matrix), then

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