Function: Let f : Z → Z be such that f(x)=x+1. What is the inverse of f(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
- Function:
- Let f : Z → Z be such that f(x)=x+1. What is the inverse of f(x)
- Let f : Z+→Z+ be such that f(x) = x2 . Is f(x) bijective?
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Math / Algebra / Q&A Library / IfA- 213, then find the value of A-3A +21. 1 -1 0
IfA- 213, then find the value of A-3A +21. 1-10
Step 3
Now, to find 2/we consider the identity
matrix of order 3x3 and multiply its each
element by 2. We take order 3x3 to match
with the order of A? and 3A.
[1 0 0] [2 0 0
21 = 2x 0 1 0 =0 2 0
0 0 10 0 2
Step 4
To find A2-3A+21, consider all three
matrices obtained in previous steps and
add/subtract them.
[6 0 3] [2 0 0
-2 5 -6 3 9 +0 2 0
-1 -23 -3 00 02
-1
2
-3,4 +21 = 9
[5-6+2
-1-0+0
2-3+0
=9-6+0
-2-3+2
5-9+0
0-3+0
-1-(-3) +0
-2 -0+2
1
-1
-1
= 3
-3 -4
-3 2
Step 5
Answer: The value of A2-3A+2/is:
-1
-1
A-3A+21 = 3
-3 -4
-3 2
•..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a8283f2-9e9f-4f26-b77f-742e43c65073%2F53e51fd4-2792-48fd-9dc9-faf754abe10f%2F7hjnts5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:46 H 9:05 f D
0.70 H2 (24
KB/s
Answered: IfA-.
bartleby.com
= bartleby
Q Search for textbooks, step-by-step explanations to homew.
E Ask an Expert
Math / Algebra / Q&A Library / IfA- 213, then find the value of A-3A +21. 1 -1 0
IfA- 213, then find the value of A-3A +21. 1-10
Step 3
Now, to find 2/we consider the identity
matrix of order 3x3 and multiply its each
element by 2. We take order 3x3 to match
with the order of A? and 3A.
[1 0 0] [2 0 0
21 = 2x 0 1 0 =0 2 0
0 0 10 0 2
Step 4
To find A2-3A+21, consider all three
matrices obtained in previous steps and
add/subtract them.
[6 0 3] [2 0 0
-2 5 -6 3 9 +0 2 0
-1 -23 -3 00 02
-1
2
-3,4 +21 = 9
[5-6+2
-1-0+0
2-3+0
=9-6+0
-2-3+2
5-9+0
0-3+0
-1-(-3) +0
-2 -0+2
1
-1
-1
= 3
-3 -4
-3 2
Step 5
Answer: The value of A2-3A+2/is:
-1
-1
A-3A+21 = 3
-3 -4
-3 2
•..
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