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If [[9,-1, 4],[-2, 1, 3]]=A+[[1 ,2,-1],[...

If `[[9,-1, 4],[-2, 1, 3]]=A+[[1 ,2,-1],[ 0, 4, 9]]` , then find matrix `A`

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Given thta,
`[[9,-1, 4],[-2, 1, 3]]=A+[[1 ,2,-1],[ 0, 4, 9]]`

`A=[[9,-1, 4],[-2, 1, 3]]-[[1 ,2,-1],[ 0, 4, 9]]`

`A=[[9-1,-1-2, 4+1],[-2, 1-4, 3-9]]`

`A=[[8,-3, 5],[-2, -3, -6]]`
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. For a 2xx2 matrix A=[a(i j)] whose elements are given by a(i j)=i/j...

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  2. If x [[2 ],[3]]+y[[-1],[ 1]]=[[10],[ 5]] , find the value of x

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  3. If [[9,-1, 4],[-2, 1, 3]]=A+[[1 ,2,-1],[ 0, 4, 9]] , then find matrix ...

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  4. If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of b

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  5. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

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  6. If matrix A=[[2,-2],[-2, 2]] and A^2=p A , then write the value of p

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  7. If A is a square matrix such that A^2=A , then write the value of 7A-(...

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

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

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

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

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

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

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

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

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

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  17. If [2\ \ 1\ \ 3][-1 0-1-1 1 0 0 1 1][1 0-1]=A , then write the order o...

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  18. If A=[3 5 7 9] is written as A=P+Q , where P is symmetric and Q is sk...

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  19. If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a n...

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  20. If A=[i0 0i],\ n in N , then A^(4n) equals [0i i0] (b) [0 0 0 0] (c) ...

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