|
Student[LinearAlgebra][Pivot] - pivot about a Matrix entry
|
|
Calling Sequence
|
|
Pivot(A, i, j, options)
|
|
|
Parameters
|
|
|
A
|
-
|
Matrix
|
|
i, j
|
-
|
integers; position of the pivot entry
|
|
options
|
-
|
(optional) parameters; for a complete list, see LinearAlgebra[Pivot]
|
|
|
|
|
|
Description
|
|
|
•
|
The Pivot(A, i, j) command pivots A about the nonzero entry ![A[i, j]](/support/helpjp/helpview.aspx?si=4404/file05019/math69.png) . Multiples of the ith row are added to every other row in A, with the result that all entries in the jth column of A are zero except for the  th element.
|
|
|
|
Examples
|
|
|
>
|
![with(Student[LinearAlgebra])](/support/helpjp/helpview.aspx?si=4404/file05019/math88.png)
|
|
>
|
|
|
![A := Matrix([[1, 2, 3, 4], [5, 6, 7, 8], [9, 0, 1, 2], [3, 4, 5, 6]])](/support/helpjp/helpview.aspx?si=4404/file05019/math95.png)
| (1) |
|
>
|
|
|
![P := Matrix([[1, 2, 3, 4], [0, -4, -8, -12], [0, -18, -26, -34], [0, -2, -4, -6]])](/support/helpjp/helpview.aspx?si=4404/file05019/math102.png)
| (2) |
|
>
|
|
|
![Matrix([[1, 0, -1, -2], [0, -4, -8, -12], [0, 0, 10, 20], [0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=4404/file05019/math109.png)
| (3) |
|
|
Download Help Document
Was this information helpful?
