Asked by hasanali.ali986 | 25th May, 2015, 10:34: PM

Expert Answer:

I f space open square brackets table row 2 1 row 1 0 row cell negative 3 end cell 4 end table close square brackets. A equals open square brackets table row cell negative 1 end cell 8 cell negative 10 end cell row 1 cell negative 2 end cell cell negative 5 end cell row 9 22 15 end table close square brackets comma space f i n d space A.  S i n c e space L H S space c o n t a i n s space m a t r i c e s space o f space o r d e r space open parentheses 3 cross times 2 close parentheses. open parentheses A close parentheses equals open parentheses 3 cross times 3 close parentheses A space s h o u l d space b e space o f space t h e space o r d e r comma space A equals open parentheses 2 cross times 3 close parentheses L e t space A equals open square brackets table row a b c row d e f end table close square brackets open square brackets table row 2 1 row 1 0 row cell negative 3 end cell 4 end table close square brackets. open square brackets table row a b c row d e f end table close square brackets equals open square brackets table row cell negative 1 end cell 8 cell negative 10 end cell row 1 cell negative 2 end cell cell negative 5 end cell row 9 22 15 end table close square brackets rightwards double arrow open square brackets table row cell 2 a plus d end cell cell 2 b plus e end cell cell 2 c plus f end cell row a b c row cell negative 3 a plus 4 d end cell cell negative 3 b plus 4 e end cell cell negative 3 plus 4 f end cell end table close square brackets equals open square brackets table row cell negative 1 end cell 8 cell negative 10 end cell row 1 cell negative 2 end cell cell negative 5 end cell row 9 22 15 end table close square brackets C o m p a r i n g comma a equals 1 comma space b equals negative 2 comma space c equals negative 5  2 a plus d equals negative 1 rightwards double arrow 2 left parenthesis 1 right parenthesis plus d equals negative 1 rightwards double arrow d equals negative 1  2 b plus e equals 8 rightwards double arrow 2 left parenthesis negative 2 right parenthesis plus e equals 8 rightwards double arrow e equals 12  2 c plus f equals negative 10 rightwards double arrow 2 left parenthesis negative 5 right parenthesis plus f equals negative 10 rightwards double arrow f equals 0  a equals 1 comma space b equals negative 2 comma space c equals negative 5 comma space d equals negative 1 comma space e equals 12 comma space f equals 0 therefore A equals open square brackets table row 1 cell negative 2 end cell cell negative 5 end cell row cell negative 1 end cell 12 0 end table close square brackets

Answered by Prasenjit Paul | 26th May, 2015, 10:26: AM