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If [[x,x-y],[2x+y,7]]=[[3 ,1],[ 8, 7]] ,...

If `[[x,x-y],[2x+y,7]]=[[3 ,1],[ 8, 7]]` , then find the value of `y`

Text Solution

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Given that,
`[[x,x-y],[2x+y,7]]=[[3 ,1],[ 8, 7]]`
Equating both sides
`x=3`

`x-y=1`
`3-y=1`
`y=2`

To verify
...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  2. What is the total number of 2xx2 matrices with each entry 0 or 1...

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  3. If [[x,x-y],[2x+y,7]]=[[3 ,1],[ 8, 7]] , then find the value of y

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  4. If a matrix has 5 elements, write all possible orders it can have.

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  5. For a 2xx2 matrix A=[a(i j)] whose elements are given by a(i j)=i/j...

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  12. If 2[[3, 4, 5x]]+[[1y,0, 1]]=[[7 0, 10, 5]] , find x-y .

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  13. If [[x,1]][(1 ,0),(-2, 0)]=O , find x

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  14. If [a+4 3b8-6]=[2a+2b+2 8a-8b] , write the value of a-2b .

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  15. Write a 2xx2 matrix which is both symmetric and skew-symmetric.

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  16. If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .

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  17. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by ...

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  18. If [x+y x-y]=[2 1 4 3][1-2] , then write the value of (x ,\ y) .

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  19. Matrix A=[0 2b-2 3 1 3 3a3-1] is given to be symmetric, find the value...

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  20. Write the number of all possible matrices of order 2xx2 with each e...

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