Consider the following linear system of differential equations: x' = = x + z y =...

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Consider the following linear system of differential equations: x' = = x + z y = x + y z' = -2x - - 2 (a) (2 points) Write this system in matrix vector form. sin(t) (b) (4 points) Show that X(t) = -sin(t)-cos(t) is a solution of - sin(t) + cos(t) this system of differential equations. Consider the following linear system of differential equations: x' = = x + z y = x + y z' = -2x - - 2 (a) (2 points) Write this system in matrix vector form. sin(t) (b) (4 points) Show that X(t) = -sin(t)-cos(t) is a solution of - sin(t) + cos(t) this system of differential equations.

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