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  • Need explanation for: If A, B, C are three matrices then (ABC)-1 =

If  A, B, C are three matrices then (ABC)-1 = 

  • Option 1)

    A-1B-1C-1

  • Option 2)

    B-1C-1A-1

  • Option 3)

    B-1A-1C-1

  • Option 4)

    None of these.

 

Answers (1)

best_answer

As we have learnt,

 

Reversal law -

\left ( AB \right )^{-1}=B^{-1}A^{-1}

- wherein

A and B are invertible matrices of same order 

 

 (ABC)-1 = C-1(AB)-1 = C-1B-1A-1

Or

(ABC)-1 = (BC)-1A-1 = C-1B-1A-1

 


Option 1)

A-1B-1C-1

Option 2)

B-1C-1A-1

Option 3)

B-1A-1C-1

Option 4)

None of these.

Posted by

prateek

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