The answer has been given, please prove whether it is correct,Be sure to explain what you are doing in terms of the meaning of the words in the problems. -2Let A [¹2]. Find solutions u(t), v(t) to x'=Ax such that everysolution can be expressed in the form au(t) + ßv(t) for suitable con-stants a, ß.Any solutions u, v such that u(0) and v(0) are independent vectors.=

Answered: Image /qna-images/answer/026d852c-353b-416f-b8ef-f2aab2dd827f.jpg

Let A = [¹2]. Find solutions u(t), v(t) to x' = Ax such that every solution can be expressed in the form au(t) + ßv(t) for suitable con- stants a, ß. Any solutions u, v such that u(0) and v(0) are independent vectors.

Let A = [¹2]. Find solutions u(t), v(t) to x' = Ax such that every solution can be expressed in the form au(t) + ßv(t) for suitable con- stants a, ß. Any solutions u, v such that u(0) and v(0) are independent vectors.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

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Question

The answer has been given, please prove whether it is correct,

Be sure to explain what you are doing in terms of the meaning of the words in the problems.

-2
Let A [¹2]. Find solutions u(t), v(t) to x'=Ax such that every
solution can be expressed in the form au(t) + ßv(t) for suitable con-
stants a, ß.
Any solutions u, v such that u(0) and v(0) are independent vectors.
=

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