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If A=[[8,0],[4,-2],[3,6]]and B=[[2,-2],[...

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

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`2A+3X=5B`
`3X=5B-2A `
`3X=5[[8,0],[4,-2],[3,6]]-2[[2,-2],[4,2],[-5,1]]`
`3X=[[8xx5,0xx5],[4xx5,-2xx5],[3xx5,6xx5]]-[[2xx2,-2xx2],[4xx2,2xx2],[-5xx2,1xx2]]`
`3X=[[40,0],[20,-10],[15,30]]-[[4,-4],[8,4],[-10,2]]`
`3X=[[40-4,0-(-4)],[20-8,-10-4],[15-(-10),30-2]]`
`X=frac{1}{3}[[36,4],[12,-14],[25,28]]`
`X=[[12,frac{4}{3}],[4,frac{-14}{3}],[frac{25}{3},frac{28}{3}]]`
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NCERT-MATRICES-SOLVED EXAMPLES
  1. Let A=[[2,-1],[3,4]],B=[[5,4],[7,4]],C=[[2,5],[3,8]]. Find a matrix D ...

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  2. If A=[[1,-2, 3],[ 4, 2, 5]]and B=[[2, 4],[ 2,3],[ 5, 1]], then find AB...

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  3. Find AB, if A=[[6, 9],[ 2, 3]]and B=[[2 ,6, 0],[ 7, 9, 8]].

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  4. Two farmers Ramkishan and Gurcharan Singh cultivates only three varie...

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  5. Find the values of x and y from the following equation:2[[x,5],[ 7,y-...

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  6. If A=[[0, 6, 7],[-6, 0, 8],[ 7,-8, 0]], B=[[0, 1, 1],[ 1, 0, 2],[ 1, 2...

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  7. If A=[1 1-1 2 0 3 3-1 2], B=[1 0-13 2 4]and C=[1 2 3-4 2 0-2 1], find ...

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  8. Find AB, if A=[[0,-1],[ 0, 2]]and B=[[3, 5],[ 0, 0]].

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  9. If A=[[1,0],[ 0,-1]]and B=[[0, 1],[ 1 ,0]], then A B=[[0,1],[-1, 0]]an...

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  10. In a legislative assembly election, a political group hired a public ...

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  11. If A=[[1,2, 3],[ 3,-2 ,1],[ 4, 2, 1]], then show that A^3-23 A-401=0.

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  12. If A=[[8,0],[4,-2],[3,6]]and B=[[2,-2],[4,2],[-5,1]], then find the ma...

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  13. Find X and Y, if X+Y=[[5,2],[0,9]]and X-Y=[[3,6],[0,-1]].

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  14. If [[x+3,z+4,2y-7],[-6,a-1,0],[b-3,-21,0]]=[[0,6,3y-2],[-6,-3,2c+2],[2...

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  15. Find the values of a, b, c, and d from the following equation:[[2a+b,...

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  16. Given A=[[sqrt(3),1,-1],[2, 3, 0]]and B=[[2, sqrt(5),1],[-2,3, 1/2]], ...

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  17. If A=[[1,2,3],[2,3,1]]and B=[[3,-1,3],[-1,0,2]], then find 2A-B.

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  18. Consider the following information regarding the number of men and wo...

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  19. If a matrix has 8 elements, what are the possible orders it can have?

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  20. Construct a 3 xx2matrix whose elements are given by a(i j)=1/2|i-3j|.

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