Kernel and image of a projection
Open answerConsider the projection of R³ onto the plane z = 0, sending (x ; y ; z) to (x ; y ; 0). Describe its kernel and image, check the rank-nullity theorem, and say whether it is injective or surjective.
Consider the projection of R³ onto the plane z = 0, sending (x ; y ; z) to (x ; y ; 0). Describe its kernel and image, check the rank-nullity theorem, and say whether it is injective or surjective.