3 by 3 Determinant

         

If matrices A A and B B are given as follows, what is det(AB)? \text{det}\left( AB \right) ? A=(354365349)B=(4488716215)A = \begin{pmatrix} 3 & 5 & 4 \\3 & 6 & 5 \\ 3 & 4 & 9 \end{pmatrix} \quad B = \begin{pmatrix} 4 & -4 & 8 \\8 & -7 & 16 \\ 2 & -1 & 5 \end{pmatrix}

Find the determinant of the following matrix: A=(252263248). A = \begin{pmatrix} 2 & 5 & 2 \\2 & 6 & 3 \\ 2 & 4 & 8 \end{pmatrix}.

Find the determinant of the following matrix: A=(210535210). A = \begin{pmatrix} 2 & 1 & 0 \\5 & 3 & 5 \\ 2 & 1 & 0 \end{pmatrix}.

Find the determinant of the following matrix: A=(310664111). A = \begin{pmatrix} 3 & 1 & 0 \\6 & 6 & 4 \\ 1 & 1 & 1 \end{pmatrix}.

If matrices A A and B B are given as follows, what is det(AB)? \text{det}\left( AB \right) ? A=(266273557)B=(212225212)A = \begin{pmatrix} 2 & 6 & 6 \\2 & 7 & 3 \\ 5 & 5 & 7 \end{pmatrix} \quad B = \begin{pmatrix} 2 & 1 & 2 \\2 & 2 & 5 \\ 2 & 1 & 2 \end{pmatrix}

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