Question

If A is a 3×3 invertible matrix such that A=A inverse of and |A|is not equal to 1 then |adj A| is equal to
a)1 b)|A| c)|A|3 d)0
and writer solution

please friend tell the correct answer friend please help me

subject mathematics 2nd pu
please tell me answer friend
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Answer 1

Answer:

I don't.....................

Answer 2

Answer:

Step-by-step explanation:

A^−1  = 1/  det(A) adj(A) ^-1

So,

A^−1  =  1/detA^-1  adjA ^−1

⇒A=  1/det(A^−1  )  adj(A^−1 )

⇒det(A  ^−1  )^A=adj(A  ^−1 )

∴  1/det(A)  ^A=adj(A ^−1  )