Reduce A and B to their triangular echelon forms U. Which variables are free? [1 2 2 4 6] 2 3 69 [00123] [242] (b) B= 0 4 4 08 (a) A 1 For the matrices in Problem 1, find a special solution for each free variable. (Set the free variable to 1. Set the other free variables to zero.) By further row operations on each U in Problem 1, find the reduced echelon form R. True or false with a reason: The nullspace of R equals the nullspace of U. For the same A and B, find the special solutions to Ax=0 and Ba=0. For an m by n matrix, the number of pivot variables plus the number of free variables is This is the Counting Theorem:r + (n -r) = n.
Reduce A and B to their triangular echelon forms U. Which variables are free? [1 2 2 4 6] 2 3 69 [00123] [242] (b) B= 0 4 4 08 (a) A 1 For the matrices in Problem 1, find a special solution for each free variable. (Set the free variable to 1. Set the other free variables to zero.) By further row operations on each U in Problem 1, find the reduced echelon form R. True or false with a reason: The nullspace of R equals the nullspace of U. For the same A and B, find the special solutions to Ax=0 and Ba=0. For an m by n matrix, the number of pivot variables plus the number of free variables is This is the Counting Theorem:r + (n -r) = n.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 18CR
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