Let I be the linear operator on IR³ defined by L(2₁])= i). Find the matrix A representing L with respect to S = { ii). Find the matrix Brepresenting L with respect to T = {| iii). Find an invertible matrix P such that B = PAP. +2₂] Türkçesi: L., R² üzerinde L( [#2]) = [ ³1 32 O i). S= 3 = ([₁] · [3] ). tabanına göre L nin temsil matrisi Ayı bulunuz. = (H.B), T tabanına göre L nin temsil matrisi Byi bulunuz. ii). T = { iii). B=P-¹AP sağlayan tersi olan P matrisini bulunuz. A A = = [₁ A = A = A = -29-48 18 30 -29 18 ₁ + 2x₂ 3x₁ - C.B)) = (GC) 48 29 0 4 -29 18 ,B [3] -48 30 18 ] B = [32], P = [ 2² ] [²²2] P = [1 ] B: 48 $$], B = [82] · P = [ 2 ] ,B= 30 24 3 14 18 şeklinde tanımlanan bir lineer dönüşüm olsun: ,B= - [87] 23 P 77] P=[2₂1] 01 D
Let I be the linear operator on IR³ defined by L(2₁])= i). Find the matrix A representing L with respect to S = { ii). Find the matrix Brepresenting L with respect to T = {| iii). Find an invertible matrix P such that B = PAP. +2₂] Türkçesi: L., R² üzerinde L( [#2]) = [ ³1 32 O i). S= 3 = ([₁] · [3] ). tabanına göre L nin temsil matrisi Ayı bulunuz. = (H.B), T tabanına göre L nin temsil matrisi Byi bulunuz. ii). T = { iii). B=P-¹AP sağlayan tersi olan P matrisini bulunuz. A A = = [₁ A = A = A = -29-48 18 30 -29 18 ₁ + 2x₂ 3x₁ - C.B)) = (GC) 48 29 0 4 -29 18 ,B [3] -48 30 18 ] B = [32], P = [ 2² ] [²²2] P = [1 ] B: 48 $$], B = [82] · P = [ 2 ] ,B= 30 24 3 14 18 şeklinde tanımlanan bir lineer dönüşüm olsun: ,B= - [87] 23 P 77] P=[2₂1] 01 D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let L be the linear operator on R² defined by L(
i). Find the matrix A representing L with respect to S={
ii). Find the matrix B representing L with respect to T = {
iii). Find an invertible matrix P such that B = PAP.
Turkçesi: L, R2 üzerinde L(
4[2])=[^3 "]
₁ + 2x₂
3x₁
}, tabanına göre L nin temsil matrisi Ayı bulunuz.
i). S=
ii). T=
[3]
H.B
iii). B=P-¹AP sağlayan tersi olan P matrisini bulunuz.
O
O
-29 -48
1
A = [18] B[i]-P-
A=
,B=
30
-3
O
O
O
A =
[₁ + 2x₂
3x₁
y ¹ ( [2₂]) = [*
-[] []).
(H.B
-29 -48
18 30
A =
}, tabanına göre L nin temsil matrisi B yi bulunuz.
,B=
18
9
B=
,P=
şeklinde tanımlanan bir lineer dönüşüm olsun:
, P =
0
48 29
[28
A=[2] P-
[² 2 ] ²= ( 1]
P=
0
7
[3]
J
4-[-2²-9
B=
P=
2
A =
- [²4 2],B= [8 7], P = [8 1
14 18
13](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb3eafa6-120a-45ed-89b4-51e4cd09740e%2F95bc8634-8cfc-4539-be87-950e600ac84b%2Fqyvh3nw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let L be the linear operator on R² defined by L(
i). Find the matrix A representing L with respect to S={
ii). Find the matrix B representing L with respect to T = {
iii). Find an invertible matrix P such that B = PAP.
Turkçesi: L, R2 üzerinde L(
4[2])=[^3 "]
₁ + 2x₂
3x₁
}, tabanına göre L nin temsil matrisi Ayı bulunuz.
i). S=
ii). T=
[3]
H.B
iii). B=P-¹AP sağlayan tersi olan P matrisini bulunuz.
O
O
-29 -48
1
A = [18] B[i]-P-
A=
,B=
30
-3
O
O
O
A =
[₁ + 2x₂
3x₁
y ¹ ( [2₂]) = [*
-[] []).
(H.B
-29 -48
18 30
A =
}, tabanına göre L nin temsil matrisi B yi bulunuz.
,B=
18
9
B=
,P=
şeklinde tanımlanan bir lineer dönüşüm olsun:
, P =
0
48 29
[28
A=[2] P-
[² 2 ] ²= ( 1]
P=
0
7
[3]
J
4-[-2²-9
B=
P=
2
A =
- [²4 2],B= [8 7], P = [8 1
14 18
13
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