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How well do you know the History of Linear Algebra?!

The beginning was in the 1840 ’s. William Rowan Hamilton introduced Quaternions in 1843 which describe the mechanics in three-dimensional space. How well do you know the History of Linear Algebra?!. Matrices . Introduced by Arthur Cayley Came about in 1857

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How well do you know the History of Linear Algebra?!

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  1. The beginning was in the 1840’s. William Rowan Hamilton introduced Quaternions in 1843 which describe the mechanics in three-dimensional space. How well do you know the History of Linear Algebra?!

  2. Matrices • Introduced by Arthur Cayley • Came about in 1857 • Better defined with the development of the ring theory in abstract algebra • Different ways of grouping numbers

  3. Cramer’s Rule • Is a way of using matrices to solve a system of linear equations • It is named after Gabriel Cramer who published this rule in 1750. • Colin Maclaurin also studied the same information

  4. Quarternion Society • From 1899 to 1913 • An International association for promoting the study of quarternions and allied systems of mathematics. • Alexander MacFarlane was the leader of the society

  5. Quaternions • A Non-commutative extension of complex numbers. • First described by Sir William Rowan Hamilton in 1843 • They form a 4D normed division algebra over real numbers

  6. Vectors • A directed line segment, comes about from it’s magnitude, length and direction. • They create real vector space

  7. Francis Galton • 1888- initiated the use of correlation coefficients • Usually more than one variable is being used in an equation and can be cross correlated • You can use a correlation matrix

  8. Numbers: real and complex • Real: numbers that can be given by an infinite decimal representation • Rational and irrational • Complex: when real and imaginary parts come together • Imaginary: i, a complex number whose squared value is a real number not greater than zero.

  9. Trivia Question #1 When was the start of linear algebra? 1750 1840 1857 1913

  10. Trivia Question #2 Who was the secretary of the Quaternion Society? William Rowan Hamilton Francis Galton Gabriel Cramer Alexander MacFarlane

  11. Trivia Question #3 Who was the man who came up with quaternions? William Rowan Hamilton Francis Galton Gabriel Cramer Alexander MacFarlane

  12. Correct! What Question to next? Question 2 Question 1 Question 3

  13. Incorrect! Go Back to Question: Question 1 Question 2 Question 3

  14. Sources Used • http://en.wikipedia.org/wiki/Linear_algebra • http://en.wikipedia.org/wiki/Quaternion_Society_%281899_-_1913%29 • Slide 5: http://en.wikipedia.org/wiki/Quaternion

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