0.4 0.2 0.7 Complete parts (a) through (c) below. 0.3 Let A = ,v, = and xo 0.6 0.8 a. Find a basis for R2 consisting of v, and another eigenvector v, of A. Which of the following can be taken as v, so that {v4, v2) is a basis for R2? [:] [:] [:] OA. OB. Oc. O D. OE. OG. O H. O1. b. Verify that x, may be written in the form x =v, + cv,. Xo = v, + ( - 0.45) v2 (Simplify your answer.) c. For k= 1, 2, .., define x = A"x Compute x, and x2, and write a formula for x. Then show that x→v, as k increases. The vector x1 can be computed using the formula x1 = (|0.34|) v, + -0.297) v2
0.4 0.2 0.7 Complete parts (a) through (c) below. 0.3 Let A = ,v, = and xo 0.6 0.8 a. Find a basis for R2 consisting of v, and another eigenvector v, of A. Which of the following can be taken as v, so that {v4, v2) is a basis for R2? [:] [:] [:] OA. OB. Oc. O D. OE. OG. O H. O1. b. Verify that x, may be written in the form x =v, + cv,. Xo = v, + ( - 0.45) v2 (Simplify your answer.) c. For k= 1, 2, .., define x = A"x Compute x, and x2, and write a formula for x. Then show that x→v, as k increases. The vector x1 can be computed using the formula x1 = (|0.34|) v, + -0.297) v2
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
could you please help to find
Please answer completely will give rating surely
All questions answers needed
![0.4 0.2
0.7
Let A =
v, =
and
Complete parts (a) through (c) below.
0.6 0.8
0.3
a. Find a basis for R2 consisting of v, and another eigenvector v, of A. Which of the following can be taken as v, so that {v,, v,) is a basis for R2?
1.
[:]
[1]
- 1
O A.
В.
C.
3
- 1
2
1
O D.
O E.
F.
2
1
1
[:]
1
OG.
1
Н.
OI.
- 2
b. Verify that x, may be written in the form Xo = v, + cv2.
- 0.45 ) v2
X0 = v, +
(Simplify your answer.)
c. For k= 1, 2, ...,
define
= A"xo. Compute x, and x2,
and write a formula for x.
Then show that x,→v, as k increases.
The vector x, can be computed using the formula x1
0.34) v, +
- 0.297|) v2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c9cf23c-31ed-4621-a72e-bea0446ad4e0%2Fc9702a1b-bde1-4579-b936-cc14af17da0a%2Fny3e3z9_processed.png&w=3840&q=75)
Transcribed Image Text:0.4 0.2
0.7
Let A =
v, =
and
Complete parts (a) through (c) below.
0.6 0.8
0.3
a. Find a basis for R2 consisting of v, and another eigenvector v, of A. Which of the following can be taken as v, so that {v,, v,) is a basis for R2?
1.
[:]
[1]
- 1
O A.
В.
C.
3
- 1
2
1
O D.
O E.
F.
2
1
1
[:]
1
OG.
1
Н.
OI.
- 2
b. Verify that x, may be written in the form Xo = v, + cv2.
- 0.45 ) v2
X0 = v, +
(Simplify your answer.)
c. For k= 1, 2, ...,
define
= A"xo. Compute x, and x2,
and write a formula for x.
Then show that x,→v, as k increases.
The vector x, can be computed using the formula x1
0.34) v, +
- 0.297|) v2.
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