phạm vi (x^3-2x^2-3x)/(x^2-4)

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Steps Examples

Generated by AI

chéo hóa (

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

)

Đường chéo hóa ma trận

Một ma trận A có thể được làm đường chéo nếu tồn tại một ma trận khả nghịch P và ma trận đường chéo D sao cho A=PDP⁻¹

Tìm các giá trị riêng cho (

6	−1
2	3

): λ=5, λ=4

Ma trận chéo D bao gồm các Giá trị riêng:

D=(

5	0
0	4

)

Tìm vecto riêng cho (

6	−1
2	3

): (

), (

)

Các vecto riêng tương ứng với các giá trị riêng trong D tạo thành các cột của P :

P=(

1	1
1	2

)

Tìm P⁻¹: (

2	−1
−1	1

)

Chứng minh rằng A=PDP⁻¹

Giải 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`

phạm vi (x^3-2x^2-3x)/(x^2-4)

Solution

Solution steps

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