The following 6 by 6 matrix has 4's down its leading diagonal, and -2's down each of the diagonals two steps up and down. 4 0 -2 0 0 0 0 4 0 -2 0 0 -2 0 4 0 -2 M = max = min = 0-2 0 4 0 -2 0 0 -2 0 4 0 0 0 0 -2 0 4 Set up a 6 element column vector f such that the value in all rows of f is C and then solve the system Mx = f of simultaneous equations for the column vector x. Enter the maximum and minimum entries of x in the boxes. Set matlab up to generate a A+B+C by A+ B+C matrix having the same structure as the matrix in the previous question. Calculate the sum and the product of its eigenvalues. sum= product = 2

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