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  3. consider the linear mappings f r r g r r and h r r

Consider the linear mappings F R R G R R and H R R given...

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Algebra

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Consider the linear mappings F R R G R R and H R R given by the formulae below F 1 22 23 4 2 5 22 22 23 21 23 G 21 22 23 4 21 5 22 20 23 20 1 25 22 100 23 H 21 22 4 2 4 2 21 2 A One of these maps is not injective Which is it B One of these maps is not surjective Which is it No answer given 3marks 3marks No answer given C In the case of the non injective map what is the dimension of its kernel D In the case of the non surjective map what is the dimension of its image 3marks 3 marks

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