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📐 Mathematics  ·  Matrices  ·  JEE

The trace of a square matrix is the sum of its:

Answer: its diagonal elements.

  • A its diagonal elements
  • B all of its elements
  • C just its first row
  • D all its determinants

Correct answer: A. its diagonal elements

Explanation: The trace is the sum of the entries on the main diagonal.

Matrix A (3 rows x 3 columns)a11a12a13a21a22a23a31a32a33column 1column 2column 3row 1row 2row 3

Element aij of matrix A sits at the intersection of row i and column j.

Concept context

Matrix operations, determinants, inverses, and solving linear systems

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