Unformatted text preview: B is indeed P 2 . Do not tacitly choose a basis for the vector space. (b) (5 points) Find [ x 2 ] B . (3) (28 points) Let A = -1 1 1 3-1-3-2 1-3-7-7-2 3 5 8 (a) (10 points) Find a row-´ echelon form for A . (b) (15 points) Find a basis for each of the subspaces NS ( A ), CS ( A ), and RS ( A ). Clearly label which basis is for which subspace. (c) (3 points) Explain geometrically why the basis for NS ( A ) and the transpose of that for RS ( A ) together constitute a basis for R 4 . 1...
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This note was uploaded on 08/03/2009 for the course MATH 107 taught by Professor Trangenstein during the Spring '07 term at Duke.
- Spring '07