Allied & ICAR Exam Bank • ALLIED_2606 NAT • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

For a $3 \times 3$ matrix $A$, if $\det(2A) = 48$, then the determinant of $A$ is:

Answer Key:

6

Step-by-Step Solution & Explanation

$\det(2A) = 2^3 \det(A) = 8 \det(A) = 48 \implies \det(A) = 6$.
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