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Questions and Answers
What is Gaussian elimination also known as?
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?
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?
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?
What is the method named after in Gaussian elimination?
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What can Gaussian elimination be used to compute in addition to solving systems of linear equations?
What can Gaussian elimination be used to compute in addition to solving systems of linear equations?
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