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Find the matrix A such that A.[{:(2,3),(...

Find the matrix A such that `A.[{:(2,3),(4,5):}]=[{:(0,-4),(10," "3):}].`

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`A=[{:(-8,4),(-19,12):}]`
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RS AGGARWAL-MATRICES-Exercise 5C
  1. If A=[{:(-1,2),(3,1):}], find f(A), where f(x)=x^(2)-2x+3.

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  2. If A=[{:(1,2),(4,-3):}] and f(x)=2x^(3)+4x+5, find f(A).

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  3. Find the values of x and y for which [{:(2,-3),(1," "1):}][{:(x),(y)...

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  4. Solve for x and y, when [{:(3,-4),(1," "2):}][{:(x),(y):}]=[{:(3),(1...

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  5. If A=[{:(3,1),(7,5):}], find x and y such that A^(2)+xI=yA.

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  6. Solve system of linear equations, using matrix method, x y" "+" "2...

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  7. Find the matrix A such that [[5-7,],[-2,3]]A=[[-16,-6],[7,2]].

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  8. Find the matrix A such that A.[{:(2,3),(4,5):}]=[{:(0,-4),(10," "3):}]...

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  9. If A=[{:(1,-1),(2,-1):}],B=[{:(a,-1),(b,-1):}]" and "(A+B)^(2)=(A^(2)+...

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  10. If F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}], show that F(x).F(y)...

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  11. If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], show that A^(2)=[...

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  12. If [1" "x" "1][{:(1,2,3),(4,5,6),(3,2,5):}][{:(" "1),(-2),(" "3):}]=O,...

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  13. If [[x, 4, 1]] [[2,-1,2] , [1,0,2] , [0,2,-4]] [[x], [4], [1]]=0 then ...

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  14. Find the values of a and b which [{:(a,b),(-a,2b):}][{:(" "2),(-1):}...

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  15. If A=[{:(" "3," "4),(-4,-3):}], find f(A), where f(x)=x^(2)-5x+7.

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  16. If A=[{:(1,1),(0,1):}], prove that A=[{:(1,n),(0,1):}] for all n inN.

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  17. Give an example of two matrices A and B such that A!=O ,\ \ B!=O ,\...

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  18. Give an example of three matrices A ,\ B ,\ C such that A B=A C but...

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  19. If A=[{:(1,0),(-1,7):}]" and "B=[{:(0,4),(-1,7):}], find (3A^(2)-2B+I)...

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  20. If [2 3 5 7]\ [1-3-2 4]=[-4 6-9x], write the value of x

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