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Prove that T: V3 V3 defined by T (x1, X2, X3) (X1, X2, 0) projection of V3 on the XiX2-plane is a linear transformation

Prove that T: V3 V3 defined by T (x1, X2, X3) (X1, X2, 0) projection of V3 on the XiX2-plane is a linear transformation Note: This is a question of vector space linear algebra.

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