(a) find a basis, and (b) state the dimension.

Chapter 4, Problem 5E

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QUESTION:

(a) find a basis, and (b) state the dimension.

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QUESTION:

(a) find a basis, and (b) state the dimension.

ANSWER:

Solution 5EStep 1 of 3Consider the following subspace, .(a)The objective is to find the basis for subspace S.For any vector in , Let .Thus, every vector in is a linear combination of vectors .Therefore, the set of vectors spans the set .

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