NABTEB Mathematics 2025 Objective — Question 4

Question 4 of 60 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

Find the determinant of the matrix [[1,3,2],[0,4,3],[2,-5,4]].

A. 3
B. 14
C. 29

Explanation

|A| = 1(4x4-3x(-5)) - 3(0x4-3x2) + 2(0x(-5)-4x2) = 1(31) - 3(-6) + 2(-8) = 31+18-16 = 33.

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