the gauss jordan method reduces a original matrix into a
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The Gauss Jordan method reduces a original matrix into a Row Echelon form. In Row Echelon form the matrix is identity.
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teaganf8y2
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Gauss-Jordan Elimination is an set of rules that can be used to clear up systems of linear equations and to locate the inverse of any invertible matrix. It is based upon 3 essential row operations you'll be able to use on a matrix: Swap the positions of of the rows. Multiply one of the rows by a nonzero scalar.
Row echelon form is any matrix with the following properties:
All zero rows (if any) belong at the bottom of the matrix. A pivot in a non-zero row, which is the left-most non-zero value in the row, is always strictly to the right of the pivot of the row above it.
Hence,
The Gauss Jordan approach reduces a authentic matrix into a Row Echelon shape. In Row Echelon form the matrix is identity.
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