(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 bi = [Ab] 4 5 6 b₂ - 7 8 9 b3 2 3 0-3-6 b₁ b₂-4b₁ b3-2b2+b 0 0 0 A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?
(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 bi = [Ab] 4 5 6 b₂ - 7 8 9 b3 2 3 0-3-6 b₁ b₂-4b₁ b3-2b2+b 0 0 0 A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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