GATE AG 2021 • Q22 NAT • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Matrices and determinants

Question Statement:

Trace of the matrix $\begin{bmatrix} 3 & 2 & 1 & 4 \\ 5 & 7 & 8 & 1 \\ 2 & 4 & 6 & 7 \\ 9 & 6 & 4 & 2 \end{bmatrix}$ is ______. [in integer]

Official Answer Key:

18 to 18

Step-by-Step Solution & Explanation

Trace = sum of the leading-diagonal elements = 3 + 7 + 6 + 2 = 18.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test