If A= 2 1 -1 3 5 2 1 6 1 , then trAadjadjA is equal to (where, trP denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the…

Question

If A= 2 1 -1 3 5 2 1 6 1 , then trAadjadjA is equal to (where, trP denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the matrix P and adjP denotes the adjoint of matrix P)

MARKS Content Team · Accepted Answer

Correct answer: (D) -1624. ∴adjadjA=AA (by property) AadjadjA=AA^2…..i A= 2 1 -1 3 5 2 1 6 1 =25-12-13-2-118-5 =-14-1-13=-28 A^2= 2 1 -1 3 5 2 1 6 1 2 1 -1 3 5 2 1 6 1 = 6 1 -1 23 40 9 21 37 12 trAadjadjA=trAA^2=-286+40+12 =-28×58=-1624

If $A = [\begin{matrix} 2 & 1 & - 1 \\ 3 & 5 & 2 \\ 1 & 6 & 1 \end{matrix}]$ , then $t r (A a d j (a d j A))$ is equal to (where, $t r (P)$ denotes the trace of the matrix $P$ i.e. the sum of all the diagonal elements of the matrix $P$ and $a d j (P)$ denotes the adjoint of matrix $P$ )

Solution

More Matrices Questions

If A=21-1352161, then trAadjadjA is equal to (where, trP denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the matrix P and adjP denotes the adjoint of matrix P)

Solution

More Matrices Questions

If $A = [\begin{matrix} 2 & 1 & - 1 \\ 3 & 5 & 2 \\ 1 & 6 & 1 \end{matrix}]$ , then $t r (A a d j (a d j A))$ is equal to (where, $t r (P)$ denotes the trace of the matrix $P$ i.e. the sum of all the diagonal elements of the matrix $P$ and $a d j (P)$ denotes the adjoint of matrix $P$ )