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Calculus and Beyond Homework Help
Nullspace, Column Space, and solution of system given only rref(A)
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[QUOTE="nenna, post: 3523020, member: 358077"] [h2]Homework Statement [/h2] Suppose a 3 x 5 matrix A has row-reduced echelon form: [[1 2 0 0 5] [0 0 1 0 4] [0 0 0 1 3]] a. Describe NS(A) b. Describe CS(A) c. Suppose . [[2] . [3] [[-2] A [5] = [4] = b . [1] [3]] . [9]] To be clear, that's the original matrix A times the vector x = {2, 3, 5, 1, 9} to give us the vector b = {-2, 4, 3}. Find all solutions of the equation Ax = b [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I completed a) by finding the basis for the nullspace to be the set of the two following vectors {2, 1, 0, 0, 0} , {-5, 0, -4, -3, 1} I'm not really sure how to do part b) since I'm not given the original matrix A, just the rref(A) I have absolutely no idea how to do part c) since I'm not given the original matrix. Please Help! [/QUOTE]
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Calculus and Beyond Homework Help
Nullspace, Column Space, and solution of system given only rref(A)
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