Mathematics, 05.05.2020 03:58, Bra1nPowers

(1 point) Consider the Initial Value Problem: x′1x′2==−x1+x2−2x1+x2,x1(0)x2(0)==4 4 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. λ1= i equation editorEquation Editor , v⃗ 1= ⎡⎣⎢⎢ 1-i equation editorEquation Editor ⎤⎦⎥⎥ 2 equation editorEquation Editor , and λ2= -i equation editorEquation Editor , v⃗ 2= ⎡⎣⎢⎢ 1+i equation editorEquation Editor ⎤⎦⎥⎥ 2 equation editorEquation Editor (b) Solve the initial value problem. Give your solution in real form.

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(1 point) Consider the Initial Value Problem: x′1x′2==−x1+x2−2x1+x2,x1(0)x2(0)==4 4 (a) Find the eig...