Matrix Algebra History

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18 Questions

Who is credited with denoting linear substitutions by a single letter in 1844?

Eisenstein

Which mathematician was the first to think of linear substitutions as forming an algebra?

Eisenstein

What is a matrix?

A rectangular array of numbers

Who is recognized as the individual who first used the term 'matrix'?

Sylvester

Who wrote the influential text 'Introduction to higher algebra' in 1907?

Bôcher

In what year did Cayley publish a note giving the inverse of a matrix for the first time?

1853

In what year did Mirsky's 'An introduction to linear algebra' contribute to the major role of matrix theory?

1955

Which mathematician authored the Memoir on the theory of matrices in 1858?

Cayley

What is the order of a matrix with 4 rows and 2 columns?

4 by 2

'Eisenstein was remarkable for showing how to add and multiply linear substitutions like ordinary numbers, except for what characteristic?'

Commutativity

Which field does NOT commonly use matrices?

Archeology

In traditional matrix algebra notation, how are the indices usually ordered?

Row index followed by column index

What is the significance of the Babylonians in the history of matrices?

They studied problems related to simultaneous linear equations.

In which century did the development of matrices and determinants really get underway?

17th Century

Which ancient civilization came closer to matrices than the Babylonians?

Chinese

What was the content of the Babylonian clay tablet dating back to around 300 BC?

A problem related to fields producing grain at different rates.

Which ancient text provides the first known example of matrix methods?

Nine Chapters on the Mathematical Art

What was the purpose of setting up a problem in 'Nine Chapters on the Mathematical Art' similar to the Babylonian example?

To demonstrate the utility of matrix methods in solving mathematical problems.

Explore the historical beginnings of matrices and determinants dating back to the second century BC and its development in the 17th Century. Learn how these concepts are connected to the study of systems of linear equations.

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