IIT JEE , AIEEE Forum - Mathematics , Algebra

Mr.IITIAN007

If A= | a   b   c |
        | d   e    f |
        | g   h    i |
then what is the value of det| adj{adj{adj{adj{adj{.....................{adjA}}}}} | WHERE ADJOINT IS TAKEN 'r' times.
(Note:The broken lines are representing matrix's symbol.)

ruhi

problem to faltu nahi hai...........infact its nice..........m trying :)

ruhi

hey can u plzz tell me whether its a subjective problem......or objective????????.........n if its objective then can u provide the options plzzz

ruhi

wot i think is.........may be u think its silly but......det(adjA) =lAl^(n-1)
nd we can also prove det {adj(adjA)} = lAl^ (n-1)^2
sooo.........similarly det{adj(adj.........A}} = lAl^(n-1)^r
where n is the order of determinant
hey tell me if u r getting the ans frm dis

karthik_abiram

u r ryt..................

Mr.IITIAN007

Ruhi!!!
I you are right but this method is going wrong for matrices having m not equal to n(where m and n are the number of columns and rows respectively).

karthik_abiram

Hii,

Determinant value is only for a square matrix..................

and adjoint is also only for square matrices.

There is no possibilty of adjoint in a non-square matrix.

Cheers !

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