Let A = 6 6 -18 4 0 -24 2 -2 -18] We want to determine if the equation Ax = 0 has nontrivial solutions. To do that we row reduce A. To do this we add We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. OA. The equation has no nontrivial solutions. OB. The equation has nontrivial solutions. O C. We cannot tell if the equation has nontrivial solutions or not.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
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Let A=4
6
6 -18
0 -24
2-2
-18
We want to determine if the equation Ax = 0 has nontrivial solutions.
To do that we row reduce A.
To do this we add
We then add
We then add
We conclude that
times the first row to the second.
times the first row to the third.
times the new second row to the new third row.
OA. The equation has no nontrivial solutions.
OB. The equation has nontrivial solutions.
OC. We cannot tell if the equation has nontrivial solutions or not.
Transcribed Image Text:Let A=4 6 6 -18 0 -24 2-2 -18 We want to determine if the equation Ax = 0 has nontrivial solutions. To do that we row reduce A. To do this we add We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. OA. The equation has no nontrivial solutions. OB. The equation has nontrivial solutions. OC. We cannot tell if the equation has nontrivial solutions or not.
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