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Given the matrices A=[2 1 1 3-1 0 0 2 4]...

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=[2-4 3 1-1 0 9 4 5]` Verify that `(A+B)+C=A+(B+C)` .

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$$ (A+B)+C=\left(\left[\begin{array}{ccc} 2 & 1 & 1 \\ 3 & -1 & 0 \\ 0 & 2 & 4 \end{array}\right]+\left[\begin{array}{ccc} 9 & 7 & -1 \\ 3 & 5 & 4 \\ ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. 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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  2. If A=d i ag\ (2\ -5\ \ \ 9) , B=d i ag\ (1\ \ \ \ 1\ -4) and C=d i ag\...

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

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

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  6. 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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  7. If X-Y=[1 1 1 1 1 0 1 0 0] and X+Y=[3 5 1-1 1 4 11 8 0] , find X and Y...

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  8. Find matrix A , if [1 2-1 0 4 9]+A=[9-1 4-2 1 3] .

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  9. If A=[9 1 7 8] , B=[1 5 7 12] , find matrix C such that 5A+3B+2C is a ...

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  10. If A=[2-2 4 2-5 1] , B=[8 0 4-2 3 6] , find matrix X such that 2A+3X=5...

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  11. If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}], fi...

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  12. Find x ,\ y satisfying the matrix equations: [x-y2-2 4x6]+[3-2 2 1 ...

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  13. Find x ,\ y satisfying the matrix equations: x[2 1]+y[3 5]+[-8-11]=...

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  14. If 2[3 4 5x]+[1y0 1]=[7 0 10 5] , find x and y .

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  15. Find the value of lambda , a non-zero scalar, if lambda[1 0 2 3 4 5...

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

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  17. If A=[8 0 4-2 3 6] and B=[2-2 4 2-5 1] , then find the matrix X of ord...

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  18. Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

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  19. Find x ,\ y ,\ z\ a n d\ t , if 2[x5 7y-3]+[3 4 1 2]=[7 14 15 14]

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  20. If X and Y are 2xx2 matrices, then solve the following matrix equat...

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