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Given the following linear system Ax = b: A = [2 4 6 4, 2 5 7 6, 2 4 5 2] b = [b1,

Given the following linear system Ax = b:

A = [2 4 6 4, 2 5 7 6, 2 4 5 2]

b = [b1, b2, b3] = [4, 3, 5]

(a) Find the condition on (b1, b2, b3) for Ax = b to have a solution.

(b) Describe C(A). (c) Find an equation for the plane C(A).

(c) Find an equation for plane C(A).

(d) Describe N(A).

(e) Find the complete solution (i.e. general solution) to Ax = b.

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