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CBSE Class 12-science Answered

How this equation possible as we know that matrix multiplication is not commutative then how BmB=BBm
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Asked by govtsecschoolnayaganv051 | 23 Apr, 2019, 06:54: PM
answered-by-expert Expert Answer
W e space k n o w space t h a t space B squared space c a n space b e space w r i t t e n space a s space B cross times B rightwards double arrow B B space c a n space b e space w r i t t e n space a s space B squared S i m i l a r l y space B to the power of m B space c a n space b e space w r i t t e n space a s space B cross times B cross times B... cross times left parenthesis m space t i m e s right parenthesis cross times B space equals space B to the power of m plus 1 end exponent A n d space B cross times B to the power of m equals B cross times left parenthesis B cross times B... cross times left parenthesis m space t i m e s right parenthesis right parenthesis equals space B to the power of m plus 1 end exponent I n space A left parenthesis B to the power of m B right parenthesis equals A left parenthesis B B to the power of m right parenthesis comma space A space i s space a t space t h e space s a m e space s i d e space F r o m space a b o v e space r e s u l t s comma space w e space h a v e A left parenthesis B to the power of m B right parenthesis equals A left parenthesis B to the power of m plus 1 end exponent right parenthesis equals A left parenthesis B B to the power of m right parenthesis H e n c e comma space i t space i s space t r u e.
Answered by Renu Varma | 24 Apr, 2019, 10:01: AM

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