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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