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

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

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To find the matrix \( X \) given the equation \( 2X + Y = \begin{pmatrix} 1 & 0 \\ -3 & 2 \end{pmatrix} \) and \( Y = \begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix} \), we can follow these steps: ### Step 1: Write down the equation We start with the equation: \[ 2X + Y = \begin{pmatrix} 1 & 0 \\ -3 & 2 \end{pmatrix} \] Substituting \( Y \): ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. 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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  2. Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0...

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

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  4. 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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  5. 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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  6. Find matrix A , if [1 2-1 0 4 9]+A=[9-1 4-2 1 3] .

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  7. 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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  8. 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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  9. If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}], fi...

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

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

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

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

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  14. 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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  15. 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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  16. 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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  17. 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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  18. If X and Y are 2xx2 matrices, then solve the following matrix equat...

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  19. In a certain city there are 30 colleges. Each college has 15 peons,...

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  20. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

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