Question: In Exercises 1-3, determine whether V and W are isomorphic. If they are, give an explicit isomorphism T: V W. 1. V = D3

In Exercises 1-3, determine whether V and W are isomorphic. If they are, give an explicit isomorphism T: V → W.
1. V = D3 (diagonal 3 × 3 matrices), W = R3
2. V = S3 (symmetric 3 × 3 matrices), W = U3 (upper triangular 3 × 3 matrices)
3. V = S3 (symmetric 3 × 3 matrices), W = S'3 (skewsymmetric 3 × 3 matrices)

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1 These vector spaces are isomorphic Bases for the two vector spaces are D 3 E 11 E 22 E 33 R 3 e 1 ... View full answer

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