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Give an example of each of the following: (a) Two vector spaces V, W with dim V = dim W and a linear transformation V

Give an example of each of the following:

(a) Two vector spaces V, W with dim V = dim W and a linear transformation V → W that is injective but not surjective.

(b) Two vector spaces V, W with dim V = dim W and a linear transformation V → W that is surjective but not injective.

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