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If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0...

If `A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}]` then verify that :
(i) `(A')=A`
(ii) `(A*B)'=B'*A'`
(iii) `(kA)'=(k*A')`

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The correct Answer is:
`=kA`'
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KUMAR PRAKASHAN-MATRICES -Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
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  3. If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify ...

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  4. If A=[{:(1,2),(4,1),(5,6):}],B=[{:(1,2),(6,4),(7,3):}], then verify th...

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  9. If A=[{:(cosq,sinq),(-sinq,cosq):}] , then show that A^(2)=[{:(cos(2q...

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  10. If A=[{:(0,-x),(x,0):}],B=[{:(0,1),(1,0):}]andx^(2)=-1 then show that ...

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  11. Verify that A^(2)=I when A=[{:(0,1,-1),(4,-3,4),(3,-3,4):}].

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  12. Prove by Mathematical Induction that (A)^(n)=(A^(n)) where n inN for a...

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  18. Find the matrix X such that , [{:(2,-1),(1,0),(-3,4):}]X=[{:(-1,-8...

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  19. If A=[{:(1,2),(4,1):}], find A^(2)+2A+7I.

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  20. If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}],andA^(-1)=A', find...

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