You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the following equation- In+1 7 Yn+1 . -4 1 Which means, if at nth minute, the 2D aliean is at point (1, 2), at n + 1tminute, they will be at point (7 ×1+2×2, –4 ×1+1×oint (11, –2) If you diagonalize the matrix that's been mentioned above, it should look like this - -1 Let's say, at minute 0, the 2D alien at point (1, 1). Let point (X;, Y;) be its position at minute 5. 1(a) What is the value of X_5 and Y_5 ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
LYn+1 .
You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the following equation-
Xn+1
7
2]
Yn
Which means, if at nth minute, the 2D aliean is at point (1, 2), at n+ 1thminute, they will be at point (7 x 1+2× 2, –4 × 1+1× 2)cint (11, –2)
If you diagonalize the matrix that's been mentioned above, it should look like this -
a
e
1
0 d
-1 f]
Let's say, at minute 0, the 2D alien is at point (1,1). Let point (X5, Y5) be its position at minute 5.
1(a) What is the value of X_5 and Y_5 ?
Transcribed Image Text:LYn+1 . You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the following equation- Xn+1 7 2] Yn Which means, if at nth minute, the 2D aliean is at point (1, 2), at n+ 1thminute, they will be at point (7 x 1+2× 2, –4 × 1+1× 2)cint (11, –2) If you diagonalize the matrix that's been mentioned above, it should look like this - a e 1 0 d -1 f] Let's say, at minute 0, the 2D alien is at point (1,1). Let point (X5, Y5) be its position at minute 5. 1(a) What is the value of X_5 and Y_5 ?
Expert Solution
Step 1

 Given that,

Advanced Math homework question answer, step 1, image 1

Also given that,

x0y0=11

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,