ref()
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ref(Matrix1[, Tol]) ⇒ matrix
Returns the row echelon form of Matrix1.
Optionally, any matrix element is treated as
zero if its absolute value is less than Tol.
This tolerance is used only if the matrix has
floating-point entries and does not contain
any symbolic variables that have not been
assigned a value. Otherwise, Tol is ignored.
• If you use /· or set the Auto or
Approximate mode to Approximate,
computations are done using floating-
point arithmetic.
• If Tol is omitted or not used, the default
tolerance is calculated as:
5E−14 •max(dim(Matrix1)) •rowNorm
(Matrix1)
Avoid undefined elements in Matrix1. They
can lead to unexpected results.
For example, if a is undefined in the
following expression, a warning message
appears and the result is shown as:
The warning appears because the
generalized element 1/a would not be valid
for a=0.
You can avoid this by storing a value to a
beforehand or by using the constraint (“|”)
operator to substitute a value, as shown in
the following example.
Note: See also rref(), page 153.
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