(a) when the system (4) above is put into the form v′ = av, what is the matrix a? (b) enter the matrix a into matlab, and record the input and output for this in your word document. use matlab to find the characteristic roots (eigenvalues) and characteristic vectors (eigenvectors) of your matrix a. copy and paste all input and output from your command into your word document. (c) use the formula (2) above and the results from part (b) to write the general solution of our system (4). write this solution in your document. what happens to the system as t gets large? (d) use pplane to create a plot of the solutions. as in the example, choose options -> solution direction -> forward and click on the plot several times. include this plot in your writeup. does this match your answer to (c)?