Gaussian Elimination Quiz
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Questions and Answers

What is Gaussian elimination also known as?

  • Triangular matrix computation
  • Row reduction (correct)
  • Matrix transformation
  • Elementary row operation
  • How is the lower left-hand corner of the matrix modified during row reduction?

  • Filled with the determinant value
  • Filled with the rank of the matrix
  • Filled with zeros as much as possible (correct)
  • Left unchanged
  • What are the three types of elementary row operations used in Gaussian elimination?

  • Swapping two elements, Multiplying a row by a constant, Adding a constant to a row
  • Swapping two columns, Dividing a row by a nonzero number, Adding a row to another row
  • Swapping two matrices, Multiplying a row by a variable, Adding a multiple of one column to another column
  • Swapping two rows, Multiplying a row by a nonzero number, Adding a multiple of one row to another row (correct)
  • What is the method named after in Gaussian elimination?

    <p>Carl Friedrich Gauss</p> Signup and view all the answers

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

    <p>The rank of a matrix, the determinant of a square matrix, and the inverse of an invertible matrix</p> Signup and view all the answers

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