(1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a graphing...

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(1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues. You can use the web version at xFunctions. If you select the "integral curves utility" from the main menu, will also be able to plot the integral curves of the associated diffential equations. ] A =| -2154 81 6 smaller eigenvalue = associated eigenvector = ( larger eigenvalue = associated, eigenvector = ( ) ) If y' = Ay is a differential equation, how would the solution curves behave? A. The solution curves converge to different points. B. All of the solutions curves would converge towards 0. (Stable node) C. All of the solution curves would run away from 0. (Unstable node) D. The solution curves would race towards zero and then veer away towards infinity. (Saddle) (1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues. You can use the web version at xFunctions. If you select the "integral curves utility" from the main menu, will also be able to plot the integral curves of the associated diffential equations. ] A =| -2154 81 6 smaller eigenvalue = associated eigenvector = ( larger eigenvalue = associated, eigenvector = ( ) ) If y' = Ay is a differential equation, how would the solution curves behave? A. The solution curves converge to different points. B. All of the solutions curves would converge towards 0. (Stable node) C. All of the solution curves would run away from 0. (Unstable node) D. The solution curves would race towards zero and then veer away towards infinity. (Saddle)

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A XII 21 81 21 54 81 21x 6x 126217 6x x 15x 4500 x 60 x 75 0 75 60 sy 0 ... View the full answer