Let a : V → W be a linear map and V 2-dimensional, W 3-dimensional over a field K. If the image of a contains at least 2 linearly independent vectors, what can you conclude about ker(a)? Select one: O The kernel of a map cannot be determined just by knowing its image, in fact these are complementary pieces of information. Hence there is not enough information to determine ker(a). O ker(a) = V O ker(a) = {0} The answer depends on the field K which was not specified. Hence there is not enough information to determine ker(a). None of the others apply

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