Consider the linear system X a. Find the eigenvalues and eigenvectors for the coefficient matrix. =...

 

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Consider the linear system X₁ a. Find the eigenvalues and eigenvectors for the coefficient matrix. = y₁ (t) = 1 y₂(t) = V₁ = b. Find the real-valued solution to the initial value problem Jy₁ 3y1 + 2y2, y/2₂2 -5y1 - 3y2, = ÿ = Use t as the independent variable in your answers. = =[₁ ÿ. 3 27 -5 -3 = = y₁ (0) = 7, y₂ (0) = -15. , and X₂ 1 = Consider the linear system X₁ a. Find the eigenvalues and eigenvectors for the coefficient matrix. = y₁ (t) = 1 y₂(t) = V₁ = b. Find the real-valued solution to the initial value problem Jy₁ 3y1 + 2y2, y/2₂2 -5y1 - 3y2, = ÿ = Use t as the independent variable in your answers. = =[₁ ÿ. 3 27 -5 -3 = = y₁ (0) = 7, y₂ (0) = -15. , and X₂ 1 =