GATE CE 2024 Set 2 — Question 48

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NAT+2 / -0EasyMatrix Algebra & OperationsLinear AlgebraEngineering MathematicsDeterminants

Engineering Mathematics → Linear Algebra → Determinants

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Question

Consider two matrices A=[214103]\mathbf{A} = \begin{bmatrix} 2 & 1 & 4 \\ 1 & 0 & 3 \end{bmatrix} and B=[102314]\mathbf{B} = \begin{bmatrix} -1 & 0 \\ 2 & 3 \\ 1 & 4 \end{bmatrix}.
The determinant of the matrix AB\mathbf{AB} is __________(in integer).
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