Transforming matrix to Row Echelon Form Example [[1,1,1],[-1,-3,-3],[2,4,4]]

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

1. Transforming matrix to Row Echelon Form example ( Enter your problem )

( Enter your problem )

Example [8-62-67-42-43] $[[8,-6,2],[-6,7,-4],[2,-4,3]]$
Example [324202423] $[[3,2,4],[2,0,2],[4,2,3]]$
Example [111-1-3-3244] $[[1,1,1],[-1,-3,-3],[2,4,4]]$
Example [23410] $[[2,3],[4,10]]$

Other related methods

2. Example

[324202423] $[[3,2,4],[2,0,2],[4,2,3]]$
(Previous example)

4. Example

[23410] $[[2,3],[4,10]]$
(Next example)

3. Example [111-1-3-3244] $[[1,1,1],[-1,-3,-3],[2,4,4]]$

Find Transforming matrix to Row Echelon Form ...
[111-1-3-3244] $[[1,1,1],[-1,-3,-3],[2,4,4]]$

Solution:
Row echelon form
Given matrix

1 $1$	1 $1$	1 $1$
-1 $-1$	-3 $-3$	-3 $-3$
2 $2$	4 $4$	4 $4$

R2←R2+R1 $R_2 larr R_2+ R_1$

1 $1$	1 $1$	1 $1$
0 $0$	-2 $-2$	-2 $-2$
2 $2$	4 $4$	4 $4$

R3←R3-2×R1 $R_3 larr R_3-2xx R_1$

1 $1$	1 $1$	1 $1$
0 $0$	-2 $-2$	-2 $-2$
0 $0$	2 $2$	2 $2$

R3←R3+R2 $R_3 larr R_3+ R_2$

1 $1$	1 $1$	1 $1$
0 $0$	-2 $-2$	-2 $-2$
0 $0$	0 $0$	0 $0$

This material is intended as a summary. Use your textbook for detail explanation.
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