Let I be the linear operator on R³ defined by L a Find the matrix A representing L with respect to S={ Find the matrix B representing L with respect to T = Find an invertible matrix P such that B=P-AP. Türkçesic L, R2 üzerinde L( [22] 1.S={\ T= O O A m). B=P-AP sağlayan tersi olan P matrisini bulunuz. 5 9 - [ ³3 ] -B- [1/2-3/2) A = -3 5 -3 A 12 371-7₂ tabanına göre L nin temsil matrisi A yı bulunuz. 9 %]. B = [1/2 72 tabanına göre L nin temsil matrisi B yi bulunuz. 1/2 9/2 1/2 -3/2 ,B ,B ·|- 11 2 - [13] B-18]. P-3 ,B= = 18 18 ‹A·B 7 I₂ 371 - 7₂ 11 18 A - [¹4 12).B-P-9] -7 3 2 11 şeklinde tanımlanan bir lineer dönüşüm olsun: ,P 2 ³- [1/² = 2 ²2].. P=[²9] 1/2 1/2] 0 1 -3 ³], ].P = [1,1] ,P
Let I be the linear operator on R³ defined by L a Find the matrix A representing L with respect to S={ Find the matrix B representing L with respect to T = Find an invertible matrix P such that B=P-AP. Türkçesic L, R2 üzerinde L( [22] 1.S={\ T= O O A m). B=P-AP sağlayan tersi olan P matrisini bulunuz. 5 9 - [ ³3 ] -B- [1/2-3/2) A = -3 5 -3 A 12 371-7₂ tabanına göre L nin temsil matrisi A yı bulunuz. 9 %]. B = [1/2 72 tabanına göre L nin temsil matrisi B yi bulunuz. 1/2 9/2 1/2 -3/2 ,B ,B ·|- 11 2 - [13] B-18]. P-3 ,B= = 18 18 ‹A·B 7 I₂ 371 - 7₂ 11 18 A - [¹4 12).B-P-9] -7 3 2 11 şeklinde tanımlanan bir lineer dönüşüm olsun: ,P 2 ³- [1/² = 2 ²2].. P=[²9] 1/2 1/2] 0 1 -3 ³], ].P = [1,1] ,P
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 I be the linear operator on R³ defined by L(
Find the matrix A representing L with respect to S=
Find the matrix B representing L with respect to T=
s={
T=
) Find an invertible matrix P such that B=P-¹AP.
Turkçesic L, R² üzerinde L(
12
311-12.
1]
tabanına göre L nin temsil matrisi A yı bulunuz.
O
O
5
-1₁
B = P¹AP sağlayan tersi olan P matrisini bulunuz.
A=
A =
1-15,
-3
A
L
11
-3
←
4-11171
A-
9
%],
9
tabanına göre L nin temsil matrisi B yi bulunuz.
B =
11 3
,B
1 18
3- [1/
18
-7 -12
=
+1([2]
B
1/2 9/2
1/2
-[24]. B = [
0
=
1/2
1/2 -3/2]
18
- A.B
{/₂2]·
7
1/2 1/2
21 2² 2], P = [¹/² ¹/²]
-3/2)
0 1
9/2
371-7₂2
şeklinde tanımlanan bir lineer dönüşüm olsun:
2
[1²7], P = [2²3]
P
=
- [29
[23] P=[ A]
-3
³], P = [1, 2]
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62ca1c58-ac8a-4380-bd93-744ecdfbeb4a%2Fb0a93cc7-ca15-4163-a3fe-85dea10b479e%2Fsqaabdd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let I be the linear operator on R³ defined by L(
Find the matrix A representing L with respect to S=
Find the matrix B representing L with respect to T=
s={
T=
) Find an invertible matrix P such that B=P-¹AP.
Turkçesic L, R² üzerinde L(
12
311-12.
1]
tabanına göre L nin temsil matrisi A yı bulunuz.
O
O
5
-1₁
B = P¹AP sağlayan tersi olan P matrisini bulunuz.
A=
A =
1-15,
-3
A
L
11
-3
←
4-11171
A-
9
%],
9
tabanına göre L nin temsil matrisi B yi bulunuz.
B =
11 3
,B
1 18
3- [1/
18
-7 -12
=
+1([2]
B
1/2 9/2
1/2
-[24]. B = [
0
=
1/2
1/2 -3/2]
18
- A.B
{/₂2]·
7
1/2 1/2
21 2² 2], P = [¹/² ¹/²]
-3/2)
0 1
9/2
371-7₂2
şeklinde tanımlanan bir lineer dönüşüm olsun:
2
[1²7], P = [2²3]
P
=
- [29
[23] P=[ A]
-3
³], P = [1, 2]
2
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