Allied & ICAR Exam Bank • ALLIED_0014 NAT • 2 Marks

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

If $A = \begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$, the value of $\det(A^3)$ is:

Answer Key:

-8

Step-by-Step Solution & Explanation

$\det(A) = 1(4) - 3(2) = -2$. $\det(A^3) = (\det A)^3 = (-2)^3 = -8$.
← Previous (ALLIED_0013) Next (ALLIED_0015) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test