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Find the inverse of each of the matrices given below :
Let `D= "diag" [d_(1),d_(2),d_(3)]` where none of `d_(1),d_(2),d_(3)` is ), prove that
`D^(-1)="diag" [d_(1)^(-1),d_(2)^(-1),d_(3)^(-1)]`.

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RS AGGARWAL-ADJOINT AND INVERSE OF A MATRIX-Exercise 7
  1. Find the inverse of given matrix [[2,-3,3] , [2,2,3] , [3,-2,2]]

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  2. Find the inverse of each of the matrices given below : [(0,0,-1), (2...

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  3. Find the inverse of each of the matrices given below : [(2,-1,4),(-...

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  4. Find the inverse of each of the matrices given below : [(8,-4,1),(1...

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  5. Find the inverse of each of the matrices given below : If A=[(2,3),(...

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  6. Find the inverse of each of the matrices given below : If A=[(1,-1,...

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  7. Find the inverse of each of the matrices given below : A=[(3,-3,4),(2...

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  8. If A=1/9[[-8,1,4],[4,4,7],[1,-8,4]], show that A^-1=A'.

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  9. Find the inverse of each of the matrices given below : Let D= "dia...

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  10. Find the inverse of each of the matrices given below : If A=[(3,2),...

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  11. Find the inverse of each of the matrices given below : If A=[(9,-1)...

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  12. Find the inverse of each of the matrices given below : Compute (AB)...

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  13. Find the inverse of each of the matrices given below : Obtain the in...

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  14. Find the inverse of each of the matrices given below : If A=[(3,2),(...

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  15. Find the inverse of each of the matrices given below : Show that th...

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  16. Find the inverse of each of the matrices given below : If A=[(-1,-1)...

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  17. Find the inverse of each of the matrices given below : if A=[(3,1),...

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  18. Find the inverse of each of the matrices given below : If A=[(3,2),...

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  19. Show that the matrix, A=[1 0-2-2-1 2 3 4 1] satisfies the equation, ...

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  20. Prove that : (i) " adj " I=I (ii) " adj " O=O (iii) I^(-1)=I.

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