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Find the perimeter of a rectangle with a width of 10 and a height of 8

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ddx

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Steps Examples

Generated by AI

diagonalización (

6	−1
2	3

)

Solution

P=(

1	1
1	2

), D=(

5	0
0	4

), P⁻¹=(

2	−1
−1	1

)

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Solution steps

One step at a time

(

6	−1
2	3

)

Diagonalización de una matriz

Una matriz A es diagonalizable si existe una matriz invertible P y una matriz diagonal D tal que A=PDP⁻¹

Encontrar los valores propios de (

6	−1
2	3

): λ=5, λ=4

La matriz diagonal D está compuesta por los valores propios:

D=(

5	0
0	4

)

Encontrar los vectores propios de (

6	−1
2	3

): (

), (

)

Los vectores propios correspondientes a los valores propios en D componen las columnas de P :

P=(

1	1
1	2

)

Hallar P⁻¹: (

2	−1
−1	1

)

Verificar que A=PDP⁻¹

Resolver PDP⁻¹: (

6	−1
2	3

)

P=(

1	1
1	2

), D=(

5	0
0	4

), P⁻¹=(

2	−1
−1	1

)

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

Find the perimeter of a rectangle with a width of 10 and a height of 8

Solution

Solution steps

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