Transforming matrix to Row Echelon Form calculator

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Home > Matrix & Vector calculators > Transforming matrix to Row Echelon Form calculator

Method and examples

Matrix operations

Method

Transforming matrix to Row Echelon Form calculator

Matrix A :

Mode =

Decimal Place =

SolutionHelp

Transforming matrix to Row Echelon Form calculator

1.

$[[8,-6,2],[-6,7,-4],[2,-4,3]]$

2.

$[[6,-2,2],[-2,3,-1],[2,-1,3]]$

3.

$[[3,2,4],[2,0,2],[4,2,3]]$

4.

$[[1,1,1],[-1,-3,-3],[2,4,4]]$

5.

$[[2,3],[4,10]]$

6.

$[[5,1],[4,2]]$

Example

1. Find Transforming matrix to Row Echelon Form ...
$[[8,-6,2],[-6,7,-4],[2,-4,3]]$

Solution:
Row echelon form
Given matrix

$8$	$-6$	$2$
$-6$	$7$	$-4$
$2$	$-4$	$3$

$R_1 larr R_1-:8$

=

$1$	$-3/4$	$1/4$
$-6$	$7$	$-4$
$2$	$-4$	$3$

$R_2 larr R_2+6xx R_1$

=

$1$	$-3/4$	$1/4$
$0$	$5/2$	$-5/2$
$2$	$-4$	$3$

$R_3 larr R_3-2xx R_1$

=

$1$	$-3/4$	$1/4$
$0$	$5/2$	$-5/2$
$0$	$-5/2$	$5/2$

$R_2 larr R_2xx2/5$

=

$1$	$-3/4$	$1/4$
$0$	$1$	$-1$
$0$	$-5/2$	$5/2$

$R_3 larr R_3+5/2xx R_2$

=

$1$	$-3/4$	$1/4$
$0$	$1$	$-1$
$0$	$0$	$0$

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