Question:

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

Last updated: 5/21/2023

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

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