(Solved): Plesse explain Compute the determinant using a cofactor expansion across the first row. Also compute ...

Compute the determinant using a cofactor expansion across the first row. Also compute the determinant by a cofactor expansion down the second column \[ \left|\begin{array}{rrr} 3 & 0 & 3 \\ 3 & 4 & 3 \\ 0 & 5 & -1 \end{array}\right| \] Compute the determinant using a colactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) A. Using this exparsion, the determinant is \( (3)(-19)-(0)(-3)+(3)(15)= \) B. Using this expansion, the determinant is \( -(0)(-3)+(4)(-3)-(5)(0)= \) C. Using this expansion, the determinant is \( (0)(-3)-(4)(-3)+(5)(0)= \) D. Using this expansion, the determinant is \( -(3)(-19)+(0)(-3)-(3)(15)= \)