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( ) , then the equations

Chapter 10: Front Matter · BUSINESS MATHEMATICS AND STATISTICS · EN medium

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are consistent. (ii) If A B  ( ) = then the equations are consistent and have unique solution. (iii) If A B  ( ) < , then the equations are consistent and have infinitely many solutions. (iv) If r A B  ( ) then the equations are inconsistent and has no solution. Example . Show that the equations x = , are consistent and solve them. The matrix equation corresponding to the given system is  =  Matrix A Augmented matrix

📖 Class 12 Business Mathematics and Statistics English 2024 Edition www.tntextbooks.in · Page 13

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are consistent. (ii) If A B  ( ) = then the equations are consistent and have unique solution. (iii) If A B  ( ) < , then the equations are consistent and have infinitely many solutions. (iv) If r A B  ( ) then the equations are inconsistent and has no solution.

Example . Show that the equations x = , are consistent and solve them. The matrix equation corresponding to the given system is  =  Matrix A Augmented matrix

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