double check the answershow all the steps Let0 2P =-2 sin(2t)cos(2t)Ii (E) = |- (sin(2t): F½(t)=-2 cos(2t).a. Show that j1 (t) is a solution to the system j'Pj by evaluating derivatives and the matrix product0 291(t)-2 0Enter your answers in terms of the variable tb. Show that 2 (t) is a solution to the system j'Pj by evaluating derivatives and the matrix productO 2Enter your answers in terms of the variable t

Answered: Image /qna-images/answer/ab5d62e1-8096-41cb-af53-ba9a42efb436.jpg

\- (sin(2t))/ · I½(t) = | Let P = -2 cos(2t) -2 sin(2t)* ÿ,(t) = –2 cos(2t). a. Show that j (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 0 2 9, (t) -2 0 Enter your answers in terms of the variable t b. Show that j2 (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 0 2 1) - :) -2 0 Enter your answers in terms of the variable t.

\- (sin(2t))/ · I½(t) = | Let P = -2 cos(2t) -2 sin(2t)* ÿ,(t) = –2 cos(2t). a. Show that j (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 0 2 9, (t) -2 0 Enter your answers in terms of the variable t b. Show that j2 (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 0 2 1) - :) -2 0 Enter your answers in terms of the variable t.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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