Consider the following subspaces of F^5 (where F is a field):
W1= { (a1, a2, a3, a4, a5) : a1=a2 + a4, a3=a5}, and
W2= { (a1, a2, a3, a4, a5) : a1 = a3 = a4}.
1. Describe the intersection of W1 and W2 and find a basis for this subspace.
2. Use the dimension formula to show that W1 + W2 = F^5
3. Starintg with the basis in (1) for the intersection of W1 and W2, find bases for W1, W2, and use them to find a basis for F^5.
Please give reasons.
2007-09-25
10:21:18
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3 answers
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asked by
Fred
1