2 A 2x2 matrix A has eigenvalues à =1 and 2,=6 with eigenvectors v, = (1, – 1)' and v,=(4,1)" respectively. Find matrix A. 4 A. A= -2 D. A= -4 5 B. A = 2 E. None in the given list. 5 4 С. А- 1 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 29 of 46
Question 29
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A 2×2 matrix A has eigenvalues 2,=1 and à,=6 with eigenvectors v, = (1, – 1)' and v ,=(4,1)' respectively .
2
2
Find matrix A.
-5
4
А. А
-2
1
D. A=
-1
4
1
-4 5
B. A =
E. None in the given list.
5 4
С. А-
Transcribed Image Text:» A Moving to another question will save this response. Question 29 of 46 Question 29 Answer A 2×2 matrix A has eigenvalues 2,=1 and à,=6 with eigenvectors v, = (1, – 1)' and v ,=(4,1)' respectively . 2 2 Find matrix A. -5 4 А. А -2 1 D. A= -1 4 1 -4 5 B. A = E. None in the given list. 5 4 С. А-
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< Question 43 of 46 > >
Question 43
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Which of the following is a subspace of
3?
A w={cx.y.2) €R³ | y=V2.z}
W =
y%3D
B. s = {(x,y.z) ER³ |x-y=1}
C. U = { (x,y.z) € R³ | y=x?}•
D. None of the choices in the list.
E. V = {(x.y.z) ER³ | z=1}·
Transcribed Image Text:A Moving to another question will save this response. < Question 43 of 46 > > Question 43 Save Answer Which of the following is a subspace of 3? A w={cx.y.2) €R³ | y=V2.z} W = y%3D B. s = {(x,y.z) ER³ |x-y=1} C. U = { (x,y.z) € R³ | y=x?}• D. None of the choices in the list. E. V = {(x.y.z) ER³ | z=1}·
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