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Question

Engineering Mathematics Question on Matrix Algebra

Consider two matrices A=[214 103]A=\begin{bmatrix} 2 & 1 & 4 \\\ 1 & 0 & 3 \end{bmatrix} and B=[10 23 14]B=\begin{bmatrix} -1 & 0 \\\ 2 & 3 \\\ 1 & 4 \end{bmatrix}
The determinant of the matrix AB is _____ (in integer).

Answer

The correct answer is 10.