Gaussian Elimination Quiz

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Questions and Answers

What is another name for Gaussian elimination?

  • Matrix transformation
  • Triangular matrix computation
  • Row reduction (correct)
  • Elementary row operations

Which mathematician is Gaussian elimination named after?

  • Isaac Newton
  • Carl Friedrich Gauss (correct)
  • Leonhard Euler
  • Pierre-Simon Laplace

What are the three types of elementary row operations used in Gaussian elimination?

  • Dividing a row by a nonzero number, Adding a multiple of one row to another row, Swapping two rows
  • Swapping two columns, Dividing a row by a nonzero number, Subtracting one row from another row
  • Swapping two rows, Multiplying a row by a nonzero number, Adding a multiple of one row to another row (correct)
  • Adding a row to another row, Multiplying a row by a matrix, Swapping two columns

What can Gaussian elimination be used to compute in addition to solving systems of linear equations?

<p>Rank of a matrix (C)</p> Signup and view all the answers

What is the goal of performing row reduction on a matrix using Gaussian elimination?

<p>To transform the matrix into an upper triangular matrix (A)</p> Signup and view all the answers

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