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Find the inverse of each of the matrices...

Find the inverse of each of the matrices given below :
Obtain the inverse of the matrics `[(1,p,0),(0,1,p),(0,0,1)] and [(1,0,0),(q,1,0),(0,q,1)]`. And, hence find the inverse of the matrix`[((1+pq),p,0),(q,(1+pq),p),(0,q,1)]`.
Let the first two matrices be A and B. Then, the third matrix is AB. Now, `(AB)^(-1)=(B^(-1)A^(-1))`

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MODERN PUBLICATION-DETERMINANTS-Revision Exercise
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  2. If a,b,c are in A.P. find the value of: ||2y+4, 5y+7, 8y+a],[3y+5, 6y+...

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  7. If A=[[3,-3,4],[2,-3,4],[0,-1,1]] , then

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  8. If A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}], then show that A^(3)=A^(-1).

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  9. If A=[1tanx-tanx1] , show that A^T\ A^(-1)=[cos2x-sin2xsin2xcos2x] .

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  10. If A=[(2,-3),(4,6)] " verify that " (adj A)^(-1)=(adj A^(-1)).

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  11. Prove that : adj. I(n)=I(n)

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  12. Prove that : adj.O=O

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  13. Prove that : I(n)^(-1)=I(n)

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

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  15. Let F(alpha)=[{:(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),(0,0,1):}...

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

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  19. Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integ...

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