- 1. Suppose o : U + V where U = R4 and V = R3 is a linear transformation such that 2 (2E y o x +y - z+w 2x + y + 4z + w
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- 1. Suppose o : U + V where U = R4 and V = R3 is a linear transformation such that 2 (2E y o x +y - z+w 2x + y + 4z + w
- 1. Suppose o : U + V where U = R4 and V = R3 is a linear transformation such that 2 (2E y o x +y - z+w 2x + y + 4z + w 3x + y + 92 Z [ w A. Find a spanning set for Imo. (5 points) B. Trim that spanning set to a basis for Imo. (5 points) a c. Based on your answer in 1B, can you say that o is an epimorphism? Defend your answer. (5 points) D. Find a basis for ker o. (5 points) E. Based on your answer in 1D, can you say that o is a monomorphism? Defend your answer. (5 points)
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