RowReduce

RowReduce(matrix)

returns the reduced row-echelon form of matrix.

See:

• Wikipedia - Row echelon form

Examples

>> RowReduce({{1,1,0,1,5},{1,0,0,2,2},{0,0,1,4,-1},{0,0,0,0,0}})
{{1,0,0,2,2},
 {0,1,0,-1,3},
 {0,0,1,4,-1},
 {0,0,0,0,0}}

>> RowReduce({{1, 0, a}, {1, 1, b}})
{{1,0,a},
 {0,1,-a+b}}

>> RowReduce({{1, 2, 3}, {4, 5, 6}, {7, 8, 9}})
{{1,0,-1},
 {0,1,2},
 {0,0,0}}

Argument {{1, 0}, {0}} at position 1 is not a non-empty rectangular matrix.

>> RowReduce({{1, 0}, {0}})
RowReduce({{1, 0}, {0}})

Implementation status

• ✅ - full supported

Github

• Implementation of RowReduce