Question: Determine whether the vector = = 10 is in the kernel of the linear mapping defined by the standard matrix 3 -5 5 A =

Determine whether the vector = = 10 is in the kernel of the linear mapping defined by the standard matrix 3 -5 5 A = -5 -12 -15 O i is in the kernel of the linear mapping O i is not in the kernel of the linear mapping Determine whether the vector = = is in the range of the linear mapping defined by the standard matrix A O is in the range of the mapping O i is not in the range of the mapping Determine if the linear mapping L: R> > R* defined by ([=]) - La. is injective or not. O The mapping is injective The mapping is not injective Determine if the linear mapping L: R2 -> IR defined by Ari + 212 -311 + 212 is surjective or not. O The mapping is surjective O The mapping is not surjective

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