Tardigrade
Question
Mathematics
Let A be 3 × 3 matrix given by A=[ai j] and B be a column vector such that B⊤ A B is a null matrix for every column vector B. If C=A-A⊤ and a13=1, a23=-5, a21=15, then find the value of operatornamedet( operatornameadj A)+ operatornamedet( operatornameadj C). ,br/>[Note: adj M denotes the adjoint of a square matrix M.]

Q. Let $A$ be $3 \times 3$ matrix given by $A = [a_{ij}]$ and $B$ be a column vector such that $B^{⊤} A B$ is a null matrix for every column vector $B$ . If $C = A - A^{⊤}$ and $a_{13} = 1, a_{23} = - 5, a_{21} = 15$ , then find the value of $det (adj A) + det (adj C)$ . ,br/>[Note : adj $M$ denotes the adjoint of a square matrix $M$ .]

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