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📐 Mathematics  ·  Matrices  ·  JEE

The product of a square matrix and its inverse is the:

Answer: identity matrix.

  • A identity matrix
  • B null matrix
  • C original matrix
  • D transpose matrix

Correct answer: A. identity matrix

Explanation: By definition, A·A⁻¹ = I, the identity matrix.

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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