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If [(x+3,z+4 ,2y-7 ),(4x+6,a-1, 0),(b-3 ...

If `[(x+3,z+4 ,2y-7 ),(4x+6,a-1, 0),(b-3 ,3b, z+2c)]=[(0, 6 ,3y-2 ),(2x,-3 ,2c+2),(2b+4,-21, 0)]` Obtain the values of `a ,\ b ,\ c ,\ x ,\ y\ a n d\ z` .

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When two maatricec are equal , then elements are also equal
`therefore x+3=0`
` Rightarrow {x}=0-3=-3 ldots(1) `
` And z+4=6`
` ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If [(x,3x-y),(2x+z,3y-omega)]=[(3 ,2 ),(4 ,7)] , find x ,\ y ,\ z ,\ ...

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  2. If [(x-y ,z),(2x-y,omega)]=[(-1 ,4),( 0 ,5)] , find x ,\ y ,\ z ,\ om...

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

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  4. If [2x+1 5x0y^2+1]=[x+3 10 0 26] , find the value of (x+y) .

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  5. If [x y4z+6x+y]=[8w0 6] , then find the values of x ,\ y ,\ z\ a n ...

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  6. Give an example of (i) a row matrix which is also a column matrix

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  7. The sales figure of two car dealers during January 2013 showed that...

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  8. For what values of x and y are the following matrices equal? A=[2x+...

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  9. Find the values of x\ a n d\ y if [(x+10 ,y^2+2y),(0,-4)]=[(3x+4,3),...

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  10. Find the values of a\ a n d\ b if A=B , where A=[a+4 3b8-6] , B=[2a+2b...

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  11. If A=[2 3 4 0 4 6 5 8 9] and B=[3 0 5 5 3 2 0 4 7] , find 3A-2B .

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  12. If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B ...

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  13. A=[(2,-1),(3,1)] and B=[(1,4),(7,2)] , find 3A-2Bdot

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

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

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

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

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

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

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