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</p> Signup and view all the answers

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

    <p>Bôcher</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</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</p> Signup and view all the answers

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

    <p>Cayley</p> Signup and view all the answers

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

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

    Which field does NOT commonly use matrices?

    <p>Archeology</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</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.</p> Signup and view all the answers

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

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

    Which ancient civilization came closer to matrices than the Babylonians?

    <p>Chinese</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.</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</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.</p> Signup and view all the answers

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