(a) Show that relative to the xyz-coordinate system in R³, the nullspace of A is all the points on the z-axis and the the column space is all points in the xy-plane. 0 1 A = 1 0 0 000 (b) Find a matrix whose null space is the x-axis, and whose column space is the yz-plane. (c) Find a matrix whose null space is the y-axis, and whose column space is the xz-plane.

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