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The first use of matrices to solve equation was back in 300 BC in a Chinese book called Nine Chapters of Mathematical Art by Chiu Chang Suan Shu.

They did not use the name matrix. The use of that word came much later and is credited to James Sylvester in 1850.

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Q: Who discovered the matrix?
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Who discovered matrix?

The first study of matrix algebra happened when Hermann Grassmann published "Theory of Extension" in 1844. In 1848, James Sylvester coined the term matrix while studying linear algebra.


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