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The equations `x + 2y + 3z = 1,2x + y + 3x = 2, 5x + 5y + 9 z = 5` haveA. unique solutionB. infinite many solutionC. inconsistentD. None of these |
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Answer» Correct Answer - A The given system of equatins in the matrix form are written as below. `[{:(1,2,3),(2,1,3),(5,5,9):}] [{:(,x),(,y),(,z):}] = [{:(,1),(,2),(,3):}]` Let `A = [{:(,1,2,3),(,2,1,3),(,5,5,9):}]` Now , `|A| = |{:(,1,2,3),(,2,1,3),(,5,5,9):}|` ` = 1(9-15)-2(18-15) + 3(10-15)` ` = 3ne 0` When know that if `|A| ne 0` , then the system of equation has unique solution. |
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