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📐 Mathematics  ·  Matrices  ·  JEE

The determinant of the identity matrix I<sub>n</sub> is:

Answer: 1.

  • A n
  • B 0
  • C n!
  • D 1

Correct answer: D. 1

Explanation: The determinant of any identity matrix equals 1, regardless of its order.

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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