Question Bank • QB_EM_133 NAT • 2 Marks

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

Calculate the determinant of the $3 \times 3$ matrix $A = \begin{bmatrix} 2 & 1 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6 \end{bmatrix}$.

Answer Key:

48

Step-by-Step Solution & Explanation

For an upper triangular matrix, the determinant equals the product of its diagonal elements: $\det(A) = 2 \times 4 \times 6 = 48$
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