Matrix Algebra History
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Questions and Answers

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

  • Cayley
  • Euler
  • Sylvester
  • Eisenstein (correct)

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

  • Eisenstein (correct)
  • Cayley
  • Euler
  • Sylvester

What is a matrix?

  • A rectangular array of numbers (correct)
  • A type of graph used in linear algebra
  • A programming language used for numerical computation
  • A software for data visualization

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

<p>Sylvester (C)</p> Signup and view all the answers

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

<p>Bôcher (A)</p> Signup and view all the answers

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

<p>1853 (C)</p> Signup and view all the answers

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

<p>1955 (A)</p> Signup and view all the answers

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

<p>Cayley (A)</p> Signup and view all the answers

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

<p>4 by 2 (A)</p> Signup and view all the answers

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

<p>Commutativity (B)</p> Signup and view all the answers

Which field does NOT commonly use matrices?

<p>Archeology (A)</p> Signup and view all the answers

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

<p>Row index followed by column index (A)</p> Signup and view all the answers

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

<p>They studied problems related to simultaneous linear equations. (B)</p> Signup and view all the answers

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

<p>17th Century (A)</p> Signup and view all the answers

Which ancient civilization came closer to matrices than the Babylonians?

<p>Chinese (C)</p> Signup and view all the answers

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

<p>A problem related to fields producing grain at different rates. (C)</p> Signup and view all the answers

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

<p>Nine Chapters on the Mathematical Art (B)</p> Signup and view all the answers

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

<p>To demonstrate the utility of matrix methods in solving mathematical problems. (A)</p> Signup and view all the answers

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