| 1. | Among other operations are computations of matrix inverses and lower echelon forms.
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| 2. | T and reduce it to row echelon form:
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| 3. | The reduced row echelon form of a matrix may be computed by Gauss Jordan elimination.
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| 4. | Elementary row operations are used in Gaussian elimination to reduce a matrix to row echelon form.
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| 5. | They are also used in Gauss-Jordan elimination to further reduce the matrix to reduced row echelon form.
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| 6. | With modern computers, Gaussian elimination is not always the fastest algorithm to compute the row echelon form of matrix.
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| 7. | On the other hand, the reduced echelon form of a matrix with integer coefficients generally contains non-integer coefficients.
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| 8. | The number of independent equations in the original system is the number of non-zero rows in the echelon form.
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| 9. | If the matrix is further simplified to reduced row echelon form, then the resulting basis is uniquely determined by the row space.
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| 10. | Using row operations to convert a matrix into reduced row echelon form is sometimes called "'Gauss Jordan elimination " '.
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