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  • If  then find the value of <img alt="(adj B)(adjA) =" src="https://learn.careers360.com

If A^{-1} = B then find the value of (adj B)(adjA) =

Option: 1

adj(A^{-1}B)


Option: 2

adj(B^{-1}A)


Option: 3

I


Option: 4

O


Answers (1)

best_answer

As we have learnt,

 

Property of adjoint of A -

adj\left ( AB \right )=\left ( adjB \right )\left ( adjA \right )

- wherein

adj A denotes adjoint of A

 

 (adjB)(adjA) = adj(AB) = adj(A^{-1}A) = adj(I) = I

 

Posted by

Pankaj

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