Question: 3. Computing images and kernels. Compute the image and kernel of the following linear transfor- mations 7: V -> W given below. In each case,

3. Computing images and kernels. Compute the image and kernel of the following linear transfor- mations 7: V -> W given below. In each case, find the dimension of the image, kernel, and V, and verify the dimension theorem. Explicitly, check that: dim(Im(7')) + dim(Ker(T') ) = dim V. (a) The linear transformation 7: 13 -> R2 given by 0 0 0 TO)= 1 1 1

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