-2 2 0 C 0 1 5 -235 (ii) (iii) For any bin R, the equation Cx=b has a solution. (If false, give an example b which makes it have no solution. If true, explain how you know; maybe cite a theorem.) (iv) (v) C has a pivot position in every row. C has a pivot position in every column. (vi) The columns of C span R³. -The equation Cx=6 has only the trivial solution = 0. (If false, write the solution set in parametric vector form. If true, explain how you know; maybe cite a theorem.) The columns of C are a linearly independent set of vectors.
-2 2 0 C 0 1 5 -235 (ii) (iii) For any bin R, the equation Cx=b has a solution. (If false, give an example b which makes it have no solution. If true, explain how you know; maybe cite a theorem.) (iv) (v) C has a pivot position in every row. C has a pivot position in every column. (vi) The columns of C span R³. -The equation Cx=6 has only the trivial solution = 0. (If false, write the solution set in parametric vector form. If true, explain how you know; maybe cite a theorem.) The columns of C are a linearly independent set of vectors.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:-2 20
C 0 1 5
-2 3 5
(ii)
(iii)
For any bin R, the equation CX = 6 has a solution. (If false, give an example b which makes
it have no solution. If true, explain how you know; maybe cite a theorem.)
(iv)
(v)
C has a pivot position in every row.
C has a pivot position in every column.
(vi)
The columns of C span R³.
-The equation Co has only the trivial solution = 0. (If false, write the solution set in
parametric vector form. If true, explain how you know; maybe cite a theorem.)
The columns of C are a linearly independent set of vectors.
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