2. Show that for any x, the matrix A = A² = I. [cos(2x) sin(2x) [sin(2x) - cos(2x)] satisfies the relation
2. Show that for any x, the matrix A = A² = I. [cos(2x) sin(2x) [sin(2x) - cos(2x)] satisfies the relation
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
Answer number 2. Show complete solution.
![2. Show that for any x, the matrix A =
A² = I.
3. Given the matrices
A =
1 22
1
2
----0--0
1 1 B = 1
1
1 X = V and c =
1 2 1
1
1
premultiply each side of the equation Bx = c by A.
4. Given the matrix
[1 0
[cos(2x) sin(2x)
[sin(2x) − cos(2x)]
-
A = 2
0 1
+ μ
0
1
1
a) find the value of 2, u and so that A =
1
b) show that no solution is possible if A =
u
W
satisfies the relation
+ v
[1]
[8¹]
1
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1049f986-1c68-4463-88ff-5504b394bb1b%2Fa951ece7-33d8-4a73-aeb0-de47289e6b76%2F76dfwgn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Show that for any x, the matrix A =
A² = I.
3. Given the matrices
A =
1 22
1
2
----0--0
1 1 B = 1
1
1 X = V and c =
1 2 1
1
1
premultiply each side of the equation Bx = c by A.
4. Given the matrix
[1 0
[cos(2x) sin(2x)
[sin(2x) − cos(2x)]
-
A = 2
0 1
+ μ
0
1
1
a) find the value of 2, u and so that A =
1
b) show that no solution is possible if A =
u
W
satisfies the relation
+ v
[1]
[8¹]
1
3
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