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How this equation possible as we know that matrix multiplication is not commutative then how BmB=BBm

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Asked by govtsecschoolnayaganv051 23rd April 2019, 6:54 PM
Answered by 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 Expert 24th April 2019, 10:01 AM
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