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📐 Mathematics  ·  Matrices  ·  JEE

For invertible matrices A and B, (AB)⁻¹ equals:

Answer: B⁻¹A⁻¹.

  • A B⁻¹A⁻¹
  • B A⁻¹B⁻¹
  • C AB
  • D BA

Correct answer: A. B⁻¹A⁻¹

Explanation: The inverse of a product reverses the order: (AB)⁻¹ = B⁻¹A⁻¹.

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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