Allied & ICAR Exam Bank • ALLIED_0003 NAT • 2 Marks

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

The determinant of the $3 \times 3$ matrix $M = \begin{pmatrix} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6 \end{pmatrix}$ is:

Answer Key:

24

Step-by-Step Solution & Explanation

For an upper triangular matrix, determinant is the product of diagonal entries: $1 \times 4 \times 6 = 24$.
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