Transcription of DETERMINANTS - NCERT
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DETERMINANTS - NCERT
76 MATHEMATICSvAll Mathematical truths are relative and conditional. STEINMETZ IntroductionIn the previous chapter, we have studied about matricesand algebra of matrices. We have also learnt that a systemof algebraic equations can be expressed in the form ofmatrices. This means, a system of linear equations likea1 x + b1 y =c1a2 x + b2 y =c2can be represented as 111222abcxabcy = . Now, thissystem of equations has a unique solution or not, isdetermined by the number a1 b2 a2 b1. (Recall that if1122abab or, a1 b2 a2 b1 0, then the system of linearequations has a unique solution).
and algebra of matrices. We have also learnt that a system of algebraic equations can be expressed in the form of matrices. This means, a system of linear equations like a 1 x + b 1 y =c 1 a 2 x + b 2 y =c 2 can be represented as 1 1 1 2 2 2 a b cx a b cy = . Now , this
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