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If X and Y are 2xx2 matrices, then so...

If `X` and `Y` are `2xx2` matrices, then solve the following matrix equations for `X` and `Y` `2X+3Y=[[2,3],[4,0]],3X+2Y=[[-2,2],[1,-5]]`

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A=[(1,-1) ,(2 ,3)],B=[(2, 1), (1, 0)],p rove t h a t (A+B)^2!=A^2+...

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  2. Find a matrix X such that 2A+B+X=0 , where A= [(-1, 2) ,(3, 4)],B=[(3,...

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

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  4. If A=[(alpha,0), (1, 1)]a n d B=[(1, 0), (5, 1)], find the values of a...

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  5. Find the value of x such that [(1,x,1)][(1, 3, 2),( 2, 5, 1), (15, 3, ...

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  6. If A=[(1,-1), (2,-1)],B=[(a,1),(b,-1)]a n d(A+B)^2=A^2+B^2,fin daa n d...

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  7. If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

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  8. If [(2,-1),(1,0),(-3,4)]A=[(-1,-8,-10),(1,-2,-5),(9,22,15)], find A.

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  9. Questions of matrix polynomial Equation

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  10. If Aa n dB are symmetric matrices of the same order, write whether AB-...

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  11. If A is a square matrix such that A^2=A ,t h e n(I+A)^3-7A is equal ...

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  12. If A is a square matrix such that A^2=A , then write the value of 7A-(...

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  13. Construct a 3xx4 matrix A=[a(i j)] whose elements are given by (i)a...

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  14. If [x-y2x+z2x-y3z+w]=[-1 5 0 13] , find x ,\ y ,\ z ,\ wdot

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  15. Find dy/dx if x+y =( tanx)^2

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  16. A matrix has 12 elements. What are the possible orders it can have?

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  17. Find dy/dx If y= (sinx)^cosx .

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  18. A matrix has 12 elements. What are the possible orders it can have?

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  19. Construct a 2xx2 matrix A=[a(i j)] whose elements are given by a(i ...

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  20. Construct a 2xx3 matrix A=[a(i j)] whose elements are given by a(i ...

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