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CBSE Class 12-science Answered

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Asked by vatsala srivastava srivastava | 16 Jun, 2014, 09:51: PM
Expert Answer
W e space d o n t space d i v i d e space m a t r i c e s comma space i n s t e a d space w e space m u l t i p l y space t h e space i n v e r s e. T h u s comma space A space d i v i d e d space b y space B space equals A over B equals A cross times B to the power of minus 1 end exponent comma space w h e r e comma space B to the power of minus 1 end exponent space m e a n s space t h e space i n v e r s e space o f space B. T h e space i n v e r s e space o f space B space e x i s t s space i f space a n d space o n l y space i f space open vertical bar B close vertical bar not equal to 0 T h e space p r o d u c t space A cross times B to the power of minus 1 end exponent space e x i s t s space i f space a n d space o n l y space i f space t h e space n u m b e r space o f space c o l u m n s space o f space t h e space m a t r i x space A space i s space e q u a l space t o space t h e space n u m b e r space o f space c o l u m n s space o f t h e space m a t r i x space A. T h e r e f o r e comma space t h e space n o t a t i o n space i s space a m b i g u o u s comma space e v e n space i f space open vertical bar B close vertical bar not equal to 0
Answered by Vimala Ramamurthy | 17 Jun, 2014, 11:55: AM
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