7 Determine the linear mapping T R3 R3 that maps the basis vectors 0 1 1 1 0 1 1 1 0 of R3 to the vectors 2 1 1 1 2 1 1 1 2

Question

7 Determine the linear mapping T R3 R3 that maps the basis vectors 0 1 1 1 0 1 1 1 0 of R3 to the vectors 2 1 1 1 2 1 1 1 2 respectively Find Ker T and Im T Verify dim Ker T dim Im T 3 CD3

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