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Matrix LU Decomposition Calculator

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lu decomposition (

1	0	0
2	4	0
1	7	8

)

Solution

L=(

1	0	0
2	1	0
1	74	1

), U=(

1	0	0
0	4	0
0	0	8

)

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Solution steps

One step at a time

(

1	0	0
2	4	0
1	7	8

)

Multiply by the identity matrix

1	0	0
0	1	0
0	0	1

)(

1	0	0
2	4	0
1	7	8

)

Use Gaussian Elimination

1	0	0
2	1	0
1	74	1

)(

1	0	0
0	4	0
0	0	8

)

Therefore

L=(

1	0	0
2	1	0
1	74	1

), U=(

1	0	0
0	4	0
0	0	8

)

Matrix LU Decomposition Examples

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Notebook

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

Matrix LU Decomposition Calculator

Solution

Solution steps

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