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Cosnsider the system of equation `a_(1)x+b_(1)y+c_(1)z=0, a_(2)x+b_(2)y+c_(2)z=0,` `a_(3)x+b_(3)y+c_(3)z=0` if `|{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=0`, then the system hasA. More than two solutionsB. One trivial and one-non trivial solutionsC. No solutionD. Only trivial solution (0,0,0) |
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Answer» Correct Answer - A As the system is homogeneous ltbegt So. `D_(1)=D_(2)=D_(3)=0` ltbegt & also D=0 `:.` there will be infinite solution |
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