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Find X and Y , if X+Y=[7 0 2 5] and X-Y=...

Find `X` and `Y` , if `X+Y=[7 0 2 5]` and `X-Y=[3 0 0 3]` .

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$$ \begin{aligned} &X+Y=\left[\begin{array}{ll} 7 & 0 \\ 2 & 5 \end{array}\right] \ldots(1) \\ &X-Y=\left[\begin{array}{ll} 3 & 0 \\ ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If A=[(1,0,0),(0,-1,0),(0,0,2)] and B=[(2,0,0),(0, 3,0),(0,0,-1)] , ...

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  2. Simplify: costheta[costhetasintheta-sinthetacostheta]+sintheta[sinthet...

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  3. Find X and Y , if X+Y=[7 0 2 5] and X-Y=[3 0 0 3] .

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  4. Find a matrix A , if A+[2 3-1 4]=[3-6-3 8] .

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  5. Find x ,\ y ,\ z ,\ t if 2[(x, z ),(y ,t)]+3[(1,-1),( 0, 2)]=3[(3, 5)...

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  6. Find non-zero values of x satisfying the matrix equation: x[2x2 ...

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  7. If A ,\ B and C are three matrices of the same order, then prove th...

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  8. Find a matrix X such that 2A+B+X=O , where A=[[-1, 2],[ 3, 4]] and B=[...

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  9. Find a matrix A such that 2A-3B+5C=O , where B=[[-2, 2, 0],[ 3, 1 ,4]]...

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  10. Solve the matrix equation [x^2y^2]-3[x2y]=[-2 9] .

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  11. Two farmers Ramkishan and Gurcharan Singh cultivates only three var...

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  12. Compute the following sums: [[3,-2],[ 1, 4]]+[[-2, 4],[ 1 ,3]]

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  13. Let A=[2 4 3 2] , B=[1 3-2 5] and C=[-2 5 3 4] . Find each of the foll...

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  14. If A=[(2, 3),( 5 ,7)] , B=[(-1 ,0, 2),( 3, 4, 1)] , C=[(-1, 2 ,3),( ...

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  15. If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4...

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  16. If A=d i ag\ (2\ -5\ \ \ 9) , B=d i ag\ (1\ \ \ \ 1\ -4) and C=d i ag\...

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  17. Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C...

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  18. Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0...

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  19. Find X if Y=[(3, 2),( 1, 4)] and 2X+Y=[(1, 0),(-3, 2)] .

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  20. Find matrices X and Y , if 2X+Y=[6-6 0-4 2 1] and X+2Y=[3 2 5-2 1-7] .

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