Suppose that for a 2 x 2 matrix A, AU = 3u for ū =• How is the pair (3, 0) called for a matrix A?Suppose further that the only non-zero vectors r, for which Ar = rz for some r, mustbe multiples of v above.• What more can you now saw about the number r =3?Suppose further that Au-3w = ở for w =Write down the general solution ofthe differential equationx'(t) = Ax

given a matrix A of order 2×2 , Av→=3v→ for v→=-1-1 (a) how is the pair 3,v→ called for a matrix A…

Suppose that for a 2 x 2 matrix A, AŬ= 3õ for ū = How is the pair (3, v) called for a matrix A? Suppose further that the only non-zero vectors r, for which Ar = rx for some r, must be multiples of v above. What more can you now saw about the number r = 3? Suppose further that Aw – 3w = õ for w = Write down the general solution of the differential equation x'(t) = Ax

Suppose that for a 2 x 2 matrix A, AŬ= 3õ for ū = How is the pair (3, v) called for a matrix A? Suppose further that the only non-zero vectors r, for which Ar = rx for some r, must be multiples of v above. What more can you now saw about the number r = 3? Suppose further that Aw – 3w = õ for w = Write down the general solution of the differential equation x'(t) = Ax

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

Suppose that for a 2 x 2 matrix A, AU = 3u for ū =
• How is the pair (3, 0) called for a matrix A?
Suppose further that the only non-zero vectors r, for which Ar = rz for some r, must
be multiples of v above.
• What more can you now saw about the number r =
3?
Suppose further that Au-3w = ở for w =
Write down the general solution of
the differential equation
x'(t) = Ax

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