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 ?
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
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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 ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3add72dc-5b31-48e2-9b8f-752782abfef6%2Ff62fe153-a9f8-4c6f-a4d1-91b3e1558f11%2F7x1qhg_processed.png&w=3840&q=75)
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 ?
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