Syntax error from line 1 column 49 to line 1 column 73. Unexpected '<mstyle '.

Asked by vatsala srivastava srivastava | 16th Jun, 2014, 10:06: PM

Expert Answer:

w e space k n o w space t h a t space a d j o i n t space o f space m a t r i x space i s space e q u a l s space t o  X. open square brackets a d j. X close square brackets equals open vertical bar X close vertical bar. I i f space d e t e r m i n a n t space o f space a space m a t r i x space i s space e q u a l s space t o space 1 space t h e n space f o l l o w i n g space p r o p o r t i e s space h o l d s space  X. open square brackets a d j. X close square brackets equals 1. I M u l t i p l y i n g space o n space b o t h space s i d e s space b y space X to the power of minus 1 end exponent space w e space g e t open square brackets a d j. X close square brackets equals X to the power of minus 1 end exponent space a n d space open square brackets a d j. X to the power of minus 1 end exponent close square brackets equals X  H e r e space X space i s space P space a n d space Q  S o space a d j. P to the power of minus 1 end exponent equals P comma space space a d j. space Q to the power of minus 1 end exponent equals Q  a d j. open parentheses X Y close parentheses equals space a d j. Y space a d j. X  a d j open parentheses Q to the power of minus 1 end exponent B P to the power of minus 1 end exponent close parentheses equals a d j. P to the power of minus 1 end exponent space a d j. B space a d j space Q to the power of minus 1 end exponent  S u b s t i t u t i n g space t h e space v a l u e s space f r o m space t h e space a b o v e space r e l a t i o n s space w e space g e t  space a d j open parentheses Q to the power of minus 1 end exponent B P to the power of minus 1 end exponent close parentheses equals a d j. P to the power of minus 1 end exponent space a d j. B space a d j space Q to the power of minus 1 end exponent space equals space P A Q

Answered by Dharma Teja | 17th Jun, 2014, 12:46: PM