Let T: R3 R3 be multiplication by (a) Show that the kernel of T is a line

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Let T: R3 †’ R3 be multiplication by
Let T: R3 †’ R3 be multiplication by
(a) Show that

(a) Show that the kernel of T is a line through the origin, and find parametric equations for it.
(b) Show that the range of T is a plane through the origin, and find an equation for it.

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