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Row Operations
Student[LinearAlgebra][AddRow] - add a multiple of a row of a Matrix to another row
Student[LinearAlgebra][MultiplyRow] - multiply a row of a Matrix by a scalar
Student[LinearAlgebra][SwapRow] - swap two rows of a Matrix
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Calling Sequence
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AddRow(A, i, j, s)
MultiplyRow(A, i, s)
SwapRow(A, i, j)
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Parameters
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A
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Matrix
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i, j
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integers; row selection
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s
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algebraic; multiplier
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Description
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The AddRow(A, i, j, s) command replaces row i of A with row i + s * row j. This command can also be called as AddRows(A, i, j, s).
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The MultiplyRow(A, i, s) command replaces row i of A with s * row i.
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The SwapRow(A, i, j) command interchanges rows i and j of A. This command can also be called as SwapRows(A, i, j).
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Examples
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![with(Student[LinearAlgebra])](/support/helpjp/helpview.aspx?si=4375/file04965/math131.png)
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![A := Matrix([[1, 4], [3, 5], [7, 6]])](/support/helpjp/helpview.aspx?si=4375/file04965/math138.png)
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![B := Matrix([[1, 4], [0, -7], [7, 6]])](/support/helpjp/helpview.aspx?si=4375/file04965/math145.png)
| (2) |
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![Matrix([[7, 6], [0, -7], [1, 4]])](/support/helpjp/helpview.aspx?si=4375/file04965/math152.png)
| (3) |
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![Matrix([[1, 4], [3*x, 5*x], [7, 6]])](/support/helpjp/helpview.aspx?si=4375/file04965/math159.png)
| (4) |
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