Allied & ICAR Exam Bank • ALLIED_0004 NAT • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

If a $3 \times 3$ matrix $A$ has $\det(A) = 4$, then $\det(2A)$ is equal to:

Answer Key:

32

Step-by-Step Solution & Explanation

For an $n \times n$ matrix, $\det(k A) = k^n \det(A)$. Here $n = 3$, so $\det(2A) = 2^3 \times 4 = 32$.
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