Question: (a) Find the kernel and range of the coefficient matrix for the system x -3y + 2z = a, 2x - 6y + 2w =

(a) Find the kernel and range of the coefficient matrix for the system x -3y + 2z = a, 2x - 6y + 2w = b, z - 3 w = c.
(b) Write down compatibility conditions on a, b, c for a solution to exist.

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