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If A=[2 3 1-4]and B=[1-2-1 3], then veri...

If `A=[2 3 1-4]`and `B=[1-2-1 3]`, then verify that `(A B)^(-1)=B^(-1)A^(-1)`

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MODERN PUBLICATION-DETERMINANTS-Examples (FREQUENCY ASKED QUESTIONS)
  1. Find the inverse of the matrix : A=[{:(0,1,2),(0,1,1),(1,0,2):}]

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  2. If A=[(1,-2,3),(0,-1,4),(-2,2,1)], find (A')^(-1)

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  3. If A=[2 3 1-4]and B=[1-2-1 3], then verify that (A B)^(-1)=B^(-1)A^(-1...

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  4. If A=[{:(1,3,3),(1,4,3),(1,3,4):}], verify A.(adj.A)=|A|I and find A^(...

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  5. Find the inverse of each of the matrices given below : Computer (A...

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  6. Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)...

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  7. x+2y=9 2x+4y=7

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  8. Solve the following system of equations by matrix method : 3x-4y=5 a...

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  9. Using matrices, solve the following system of equations: 4x+3y+3z=6...

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  10. Solve the following system of equations by matrix method : x+y-2=3...

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  11. Using elementary transformations, find the inverse of the matrix A=(8 ...

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  12. If A=[[2,3,4],[1,-1,0],[0,1,2]], find A^(-1). Hence, solve the system...

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  13. If A=[{:(2,3,10),(4,-6,5),(6,9,-20):}], find A^(-1). Using A^(-1), sol...

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  14. Use product [{:(1,-1,2),(0,2,-3),(3,-2,4):}][{:(-2,0,1),(9,2,-3),(6,1,...

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  15. Solve, using matrices : 2x-y+3z=5, 3x+2y-z=7 and 4x+5y-5z=9

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  16. Solve the following systems of linear homogenous equations : 2x+y-3z...

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  17. Solve the following systems of linear homogenous equations : 3x+2y+7...

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  18. The sum of three numbers is -1. If we multiply second number by 2, thi...

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

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  20. A typing changes rs 145 for typing 10 English and 1 Hindi page for typ...

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