Answer :

Given:


A' is the transpose of the matrix A, we get,


So, finding AA’ we get which is also equal to 9I.


Now, =


Equating same terms, we get 2x + 4 = 0


⇒x = –2


Putting x = –2 in AA’ we get


x = –2


Hence, the value of x is equal to –2.


Note: We can find the value of x only by calculating the a12 element, So, there is no need to multiply the full matrix.

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