Let , where . Find the maximum possible value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let M=[aij]3×3M=[a_{ij}]_{3\times3}, where aij∈{−1,1}a_{ij}\in\{-1,1\}. Find the maximum possible value of det⁡(M)\det(M). (a) 3 (b) 4 (c) 5 (d) 6

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