[14] 2. Let D = 2 5 [36] 4 3 E = 5 6 69 a = B - {2} b = n Suppose now a vector z=0 satisfies D¹ z = 0. Answer the following questions. -0 (1) Find the relations between p, q and r. (2) When some solution vector x = {*} necessary condition that a, ß and y should satisfy. Jyil (3) When some solution vector y = exists to the equation Ey= b, show the necessary condition that 5, 7 and K should satisfy. exists to the equation Dx = a, show the

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
[1 4]
2. Let D = 2 5
3 6
[4 3]
E = 5 6
6 9
a = {B
b = {n
Suppose now a vector z = {9 + 0 satisfies D'z = 0. Answer the following questions.
(1) Find the relations between p, q and r.
(2) When some solution vector x =
exists to the equation Dx = a, show the
necessary condition that a, B and y should satisfy.
(3) When some solution vector y =
exists to the equation Ey = b, show the
necessary condition that 5, 7 and x should satisfy.
Transcribed Image Text:[1 4] 2. Let D = 2 5 3 6 [4 3] E = 5 6 6 9 a = {B b = {n Suppose now a vector z = {9 + 0 satisfies D'z = 0. Answer the following questions. (1) Find the relations between p, q and r. (2) When some solution vector x = exists to the equation Dx = a, show the necessary condition that a, B and y should satisfy. (3) When some solution vector y = exists to the equation Ey = b, show the necessary condition that 5, 7 and x should satisfy.
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