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On the set M=A(x)={[xxxx]: x in R}of2x...

On the set `M=A(x)={[xxxx]: x in R}of2x2` matrices, find the identity element for the multiplication of matrices as a binary operation.

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Take muetiplication identity is B.

`M times B=M `

` [[x , x] , [x ,x]] [[p , r ], [q ,s]] ...
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RD SHARMA-BINARY OPERATIONS-Solved Examples And Exercises
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  2. Let '*' be a binary operation on N given by a*b=LdotCdotMdot(a , b) fo...

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  3. On the set M=A(x)={[xxxx]: x in R}of2x2 matrices, find the identity ...

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  6. Let A=NxN , and let * be a binary operation on A defined by (a , b)*(...

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  7. Discuss the commutativity and associativity of binary operation * d...

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  8. Let * be a binary operation on N, the set of natural numbers, defined ...

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  9. Let *, be a binary operation on N, the set of natural numbers defined ...

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  10. On Q, the set of all rational numbers, a binary operation * is defined...

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  12. On the set C of all complex numbers an operation 'o' is defined by ...

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  13. Let S={1,2,3,4} and * be an operation on S defined by a*b=r , where r ...

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  14. Let S=(0,1,2,3,4,) and * be an operation on S defined by a*b=r , where...

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  15. Define a binary operation * on the set A={0,1,2,3,4,5} given by a*b=a ...

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  16. Let S={a+sqrt(2)b : a , b in Z}dot Then prove that an operation * on ...

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  17. Let A be a set having more than one element. Let * be a binary oper...

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  18. Let A=NxNa n d^(prime)*' be a binaryoperation on A defined by (a , b)*...

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  19. Let S be the set of all rational numbers except 1 and * be defined on ...

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  20. Q, the set of all rational number, * is defined by a*b=(a-b)/2 , show ...

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