Solutions to Linear Algebra Practice Problems

3. Consider the following subspace of R4: S = Span 0 B B @ 2 6 6 4 1 2 1 3 3 7 7 5; 2 6 6 4 3 6 3 9 3 7 7 5; 2 6 6 4 1 3 5 4 3 7 7 5; 2 6 6 4 2 3 ¡2 5 3 7 7 5 1 C C A Find a basis for S. Answer: There are two methods. Method 1: We place the vectors as col

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