In Exercises 1-3, determine whether V and W are isomorphic. If they are, give an explicit isomorphism
Question:
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 the full answer
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